diff --git a/apps/web/src/pages/routine-detail-page.tsx b/apps/web/src/pages/routine-detail-page.tsx
index 54096740..0dfc305d 100644
--- a/apps/web/src/pages/routine-detail-page.tsx
+++ b/apps/web/src/pages/routine-detail-page.tsx
@@ -309,7 +309,7 @@ export function RoutineRunHistory({
                   <TriggeredByCell run={run} />
                 </TableCell>
                 <TableCell>
-                  <RunStatusCell run={run} />
+                  <RunStatusCell run={run} now={now} />
                 </TableCell>
                 <TableCell>{formatRelativeTime(run.createdAt, now)}</TableCell>
                 <TableCell>
@@ -349,7 +349,7 @@ export function RoutineDetailPage({
   readonly onToggleEnabled: (enabled: boolean) => void;
   readonly onSaveSchedule: (expression: string) => Promise<void>;
 }) {
-  const health = routineHealth(row.routine, row.runs);
+  const health = routineHealth(row.routine, row.runs, now);
   const latestRunId =
     row.runs.find((run) => !fireNeverStarted(run.triggeredBy))?.runId ?? null;
   return (
diff --git a/apps/web/src/pages/routines-page.tsx b/apps/web/src/pages/routines-page.tsx
index e6961e2d..f7e00e85 100644
--- a/apps/web/src/pages/routines-page.tsx
+++ b/apps/web/src/pages/routines-page.tsx
@@ -36,6 +36,7 @@ import type { BadgeTone, RunStatus } from "@corbits/react-ui";
 import { Clock, PlayCircle, Plus } from "@corbits/icons";
 import type { KeyboardEvent } from "react";
 import {
+  fireOutcomeStatus,
   routineHealth,
   routineScheduleSentence,
   runStatusLabel,
@@ -145,7 +146,7 @@ export function RunsTable({
                 <TriggeredByCell run={run} />
               </TableCell>
               <TableCell>
-                <RunStatusCell run={run} />
+                <RunStatusCell run={run} now={now} />
               </TableCell>
               <TableCell>{formatRelativeTime(run.createdAt, now)}</TableCell>
             </TableRow>
@@ -176,11 +177,20 @@ export function TriggeredByCell({ run }: { readonly run: RoutineRun }) {
   );
 }
 
-/** A fire's settled run status in words, or a dash when the platform has
- * no run to report (a launch that never got that far). */
-export function RunStatusCell({ run }: { readonly run: RoutineRun }) {
-  const status = run.run?.status;
-  if (typeof status !== "string") {
+/** A fire's outcome in words, or a dash when the platform has no run to
+ * report (a launch that never got that far). Reads `fireOutcomeStatus`,
+ * not the raw `run.status` — warm-keep (CL-6681) leaves a fire's delivery
+ * agent deployed after it replies, so the raw column never settles out of
+ * `running` on its own. */
+export function RunStatusCell({
+  run,
+  now,
+}: {
+  readonly run: RoutineRun;
+  readonly now: number;
+}) {
+  const status = fireOutcomeStatus(run, now);
+  if (status === null) {
     return <span className="text-[var(--ui-fg-muted)]">—</span>;
   }
   return <Badge tone={runStatusTone(status)}>{runStatusLabel(status)}</Badge>;
@@ -189,8 +199,11 @@ export function RunStatusCell({ run }: { readonly run: RoutineRun }) {
 /** A routine's health, from the telemetry the scheduler already records —
  * the same reading the detail page's health rail shows, never a second
  * opinion. */
-export function routineRowHealth(row: GlobalRoutineRow): RoutineHealth {
-  return routineHealth(row.routine, row.runs);
+export function routineRowHealth(
+  row: GlobalRoutineRow,
+  now: number,
+): RoutineHealth {
+  return routineHealth(row.routine, row.runs, now);
 }
 
 /** "At 09:00, Monday through Friday (UTC)" — the schedule as a sentence,
@@ -275,7 +288,7 @@ export function GlobalRoutinesList({
       </TableHeader>
       <TableBody>
         {rows.map((row) => {
-          const health = routineRowHealth(row);
+          const health = routineRowHealth(row, now);
           const lastRun = latestFire(row);
           return (
             <TableRow key={row.routine.id}>
@@ -311,7 +324,7 @@ export function GlobalRoutinesList({
                     <span className="text-sm">
                       {formatRelativeTime(lastRun.createdAt, now)}
                     </span>
-                    <RunStatusCell run={lastRun} />
+                    <RunStatusCell run={lastRun} now={now} />
                   </span>
                 )}
               </TableCell>
diff --git a/apps/web/test/routines-page.test.tsx b/apps/web/test/routines-page.test.tsx
index cafc6bab..a225f606 100644
--- a/apps/web/test/routines-page.test.tsx
+++ b/apps/web/test/routines-page.test.tsx
@@ -75,6 +75,7 @@ describe("routineRowHealth", () => {
   test("Off for a disabled routine, regardless of run history", () => {
     const health = routineRowHealth(
       row({ routine: { ...routine, enabled: false } }),
+      listProps.now,
     );
     expect(health.state).toBe("off");
     expect(health.label).toBe("Off");
@@ -85,6 +86,7 @@ describe("routineRowHealth", () => {
       row({
         routine: { ...routine, deadLetteredAt: "2026-01-02T00:00:00.000Z" },
       }),
+      listProps.now,
     );
     expect(health.state).toBe("paused");
   });
@@ -96,7 +98,10 @@ describe("routineRowHealth", () => {
       createdAt: "2026-01-01T00:00:00.000Z",
       run: { status: "completed" },
     };
-    const health = routineRowHealth(row({ runs: [finished, finished] }));
+    const health = routineRowHealth(
+      row({ runs: [finished, finished] }),
+      listProps.now,
+    );
     expect(health.state).toBe("ok");
     expect(health.cleanStreak).toBe(2);
   });
@@ -206,7 +211,7 @@ describe("GlobalRoutinesList", () => {
           {
             runId: "run_1",
             triggeredBy: "schedule",
-            createdAt: "2026-01-01T09:00:00.000Z",
+            createdAt: "2026-01-01T11:55:00.000Z",
             run: { status: "running" },
           },
         ],
@@ -216,6 +221,23 @@ describe("GlobalRoutinesList", () => {
     expect(markup).not.toContain(">running<");
   });
 
+  test("warm-keep (CL-6681): a fire whose 'running' status is stale reads as finished, not stuck Running now forever", () => {
+    const markup = renderList([
+      row({
+        runs: [
+          {
+            runId: "run_1",
+            triggeredBy: "schedule",
+            createdAt: "2026-01-01T09:00:00.000Z",
+            run: { status: "running" },
+          },
+        ],
+      }),
+    ]);
+    expect(markup).not.toContain("Running now");
+    expect(markup).toContain("Finished");
+  });
+
   test("a failing routine states its failure count in words, not only in colour", () => {
     const markup = renderList([
       row({ routine: { ...routine, consecutiveFailures: 2 } }),
diff --git a/packages/routines/src/client.ts b/packages/routines/src/client.ts
index e17d243f..8e462e4c 100644
--- a/packages/routines/src/client.ts
+++ b/packages/routines/src/client.ts
@@ -26,7 +26,9 @@ export {
 } from "./run-language";
 export {
   cleanFireStreak,
+  FIRE_RUNNING_WINDOW_MS,
   fireFailed,
+  fireOutcomeStatus,
   lastFailedFire,
   medianFireDurationMs,
   routineHealth,
diff --git a/packages/routines/src/health.test.ts b/packages/routines/src/health.test.ts
index 2fa67cc1..48c51844 100644
--- a/packages/routines/src/health.test.ts
+++ b/packages/routines/src/health.test.ts
@@ -2,6 +2,8 @@ import { describe, expect, test } from "bun:test";
 
 import {
   cleanFireStreak,
+  FIRE_RUNNING_WINDOW_MS,
+  fireOutcomeStatus,
   lastFailedFire,
   medianFireDurationMs,
   routineHealth,
@@ -14,6 +16,9 @@ const healthy: RoutineHealthSubject = {
   deadLetteredAt: null,
 };
 
+const FIRE_CREATED_AT = "2026-01-01T00:00:00.000Z";
+const NOW = Date.parse(FIRE_CREATED_AT) + 60_000;
+
 function fire(
   runId: string,
   overrides: Partial<RoutineFire> = {},
@@ -22,32 +27,74 @@ function fire(
   return {
     runId,
     triggeredBy: "schedule",
-    createdAt: "2026-01-01T00:00:00.000Z",
+    createdAt: FIRE_CREATED_AT,
     run,
     ...overrides,
   };
 }
 
+describe("fireOutcomeStatus", () => {
+  test("a running fire still inside its window reads as running", () => {
+    expect(fireOutcomeStatus(fire("r1", {}, { status: "running" }), NOW)).toBe(
+      "running",
+    );
+  });
+
+  test("warm-keep (CL-6681): a running fire past its window reads as completed", () => {
+    const staleNow = Date.parse(FIRE_CREATED_AT) + FIRE_RUNNING_WINDOW_MS + 1;
+    expect(
+      fireOutcomeStatus(fire("r1", {}, { status: "running" }), staleNow),
+    ).toBe("completed");
+  });
+
+  test("every terminal status passes through unchanged, however old", () => {
+    const longAfter = Date.parse(FIRE_CREATED_AT) + FIRE_RUNNING_WINDOW_MS * 10;
+    expect(
+      fireOutcomeStatus(fire("r1", {}, { status: "failed" }), longAfter),
+    ).toBe("failed");
+    expect(
+      fireOutcomeStatus(fire("r1", {}, { status: "cancelled" }), longAfter),
+    ).toBe("cancelled");
+  });
+
+  test("null when the platform has no run to report", () => {
+    expect(fireOutcomeStatus(fire("r1", {}, {}), NOW)).toBeNull();
+  });
+});
+
 describe("cleanFireStreak", () => {
   test("counts successes from the newest fire and stops at the first failure", () => {
     expect(
-      cleanFireStreak([
-        fire("r5"),
-        fire("r4"),
-        fire("r3", {}, { status: "failed" }),
-        fire("r2"),
-      ]),
+      cleanFireStreak(
+        [
+          fire("r5"),
+          fire("r4"),
+          fire("r3", {}, { status: "failed" }),
+          fire("r2"),
+        ],
+        NOW,
+      ),
     ).toBe(2);
   });
 
   test("an in-flight run neither breaks nor extends the streak", () => {
     expect(
-      cleanFireStreak([fire("r2", {}, { status: "running" }), fire("r1")]),
+      cleanFireStreak([fire("r2", {}, { status: "running" }), fire("r1")], NOW),
     ).toBe(1);
   });
 
+  test("a stale running fire (warm-keep) counts as a success, not in-flight forever", () => {
+    const staleNow = Date.parse(FIRE_CREATED_AT) + FIRE_RUNNING_WINDOW_MS + 1;
+    expect(
+      cleanFireStreak(
+        [fire("r2", {}, { status: "running" }), fire("r1")],
+        staleNow,
+      ),
+    ).toBe(2);
+  });
+
   test("no history is a streak of zero, not a failure", () => {
-    expect(cleanFireStreak([])).toBe(0);
+    expect(cleanFireStreak([], NOW)).toBe(0);
   });
 });
 
@@ -135,10 +182,22 @@ describe("routineHealth", () => {
 
   test("an in-flight latest run reports Running now", () => {
     expect(
-      routineHealth(healthy, [fire("r1", {}, { status: "running" })]).state,
+      routineHealth(healthy, [fire("r1", {}, { status: "running" })], NOW)
+        .state,
     ).toBe("running");
   });
 
+  test("warm-keep (CL-6681): a latest run stuck 'running' past its window reads as healthy, not stuck Running now forever", () => {
+    const staleNow = Date.parse(FIRE_CREATED_AT) + FIRE_RUNNING_WINDOW_MS + 1;
+    const health = routineHealth(
+      healthy,
+      [fire("r1", {}, { status: "running" })],
+      staleNow,
+    );
+    expect(health.state).toBe("ok");
+    expect(health.label).not.toBe("Running now");
+  });
+
   test("consecutive failures are stated in the caption, not just the pill", () => {
     const health = routineHealth({ ...healthy, consecutiveFailures: 2 }, [
       fire("r1", { error: "boom" }, {}),
diff --git a/packages/routines/src/health.ts b/packages/routines/src/health.ts
index dd813ee9..0fa8691a 100644
--- a/packages/routines/src/health.ts
+++ b/packages/routines/src/health.ts
@@ -70,6 +70,37 @@ function statusOf(fire: RoutineFire): string | null {
   return typeof status === "string" ? status : null;
 }
 
+/**
+ * How long a fire may credibly still be doing work before its lingering
+ * `running` status is read as warm-keep (CL-6681) — a routine's delivery
+ * agent deliberately stays deployed after it replies, so
+ * `workflow_run.status` never settles out of `running` on its own. Past
+ * this window a `running` fire is presumed to have already delivered its
+ * reply, so every surface badging its status reads it through
+ * `fireOutcomeStatus` rather than the raw column.
+ */
+export const FIRE_RUNNING_WINDOW_MS = 10 * 60 * 1000;
+
+/**
+ * A fire's status the way this build should show it: the raw `run.status`
+ * for every terminal value, but a `running` status older than
+ * `FIRE_RUNNING_WINDOW_MS` is read as `completed` instead of taken
+ * literally — see that constant's own comment. This is the one place that
+ * tells a fire still doing work apart from one merely staying warm; every
+ * caller that needs a fire's displayed status goes through here, never
+ * `fire.run?.status` directly.
+ */
+export function fireOutcomeStatus(
+  fire: RoutineFire,
+  now: number,
+): string | null {
+  const status = statusOf(fire);
+  if (status !== "running") return status;
+  const startedAt = Date.parse(fire.createdAt);
+  if (Number.isNaN(startedAt)) return status;
+  return now - startedAt > FIRE_RUNNING_WINDOW_MS ? "completed" : "running";
+}
+
 /** A fire failed when it recorded a launch error (the synthetic
  * `schedule-failed` row) or its run settled as failed. */
 export function fireFailed(fire: RoutineFire): boolean {
@@ -77,17 +108,20 @@ export function fireFailed(fire: RoutineFire): boolean {
   return statusOf(fire) === "failed";
 }
 
-function fireSucceeded(fire: RoutineFire): boolean {
-  return !fireFailed(fire) && statusOf(fire) === "completed";
+function fireSucceeded(fire: RoutineFire, now: number): boolean {
+  return !fireFailed(fire) && fireOutcomeStatus(fire, now) === "completed";
 }
 
 /** Successful fires from the newest backwards, stopping at the first
  * failure — the "N clean runs" streak, not a lifetime total. */
-export function cleanFireStreak(fires: readonly RoutineFire[]): number {
+export function cleanFireStreak(
+  fires: readonly RoutineFire[],
+  now: number,
+): number {
   let streak = 0;
   for (const fire of fires) {
     if (fireFailed(fire)) break;
-    if (fireSucceeded(fire)) streak += 1;
+    if (fireSucceeded(fire, now)) streak += 1;
   }
   return streak;
 }
@@ -142,6 +176,7 @@ function stateAndWords(
   routine: RoutineHealthSubject,
   fires: readonly RoutineFire[],
   streak: number,
+  now: number,
 ): {
   readonly state: RoutineHealthState;
   readonly label: string;
@@ -163,7 +198,7 @@ function stateAndWords(
     };
   }
   const latest = fires[0];
-  if (latest !== undefined && statusOf(latest) === "running") {
+  if (latest !== undefined && fireOutcomeStatus(latest, now) === "running") {
     return {
       state: "running",
       label: "Running now",
@@ -203,14 +238,17 @@ function stateAndWords(
 
 /**
  * A routine's health from its own row plus its fire history (newest
- * first, as `GET /routines/:id/runs` returns it).
+ * first, as `GET /routines/:id/runs` returns it). `now` defaults to the
+ * wall clock — callers that render a ticking page pass their own shared
+ * clock so this agrees with the rest of that page's relative times.
  */
 export function routineHealth(
   routine: RoutineHealthSubject,
   fires: readonly RoutineFire[],
+  now: number = Date.now(),
 ): RoutineHealth {
-  const cleanStreak = cleanFireStreak(fires);
-  const words = stateAndWords(routine, fires, cleanStreak);
+  const cleanStreak = cleanFireStreak(fires, now);
+  const words = stateAndWords(routine, fires, cleanStreak, now);
   return {
     state: words.state,
     label: words.label,