diff --git a/agent/webapp.py b/agent/webapp.py
index c7909c6a..ece49d8b 100644
--- a/agent/webapp.py
+++ b/agent/webapp.py
@@ -1339,8 +1339,32 @@ async def process_slack_mention(event_data: dict[str, Any], repo_config: dict[st
             )
 
 
+LINEAR_WEBHOOK_MAX_AGE_SECONDS = 60
+
+
+def _linear_timestamp_is_fresh(body: bytes) -> bool:
+    """Reject replays: the signed payload's ``webhookTimestamp`` must be recent.
+
+    Linear includes ``webhookTimestamp`` (Unix milliseconds) inside the signed
+    body. Fail closed when it is missing or malformed.
+    """
+    try:
+        ts_ms = json.loads(body)["webhookTimestamp"]
+    except (json.JSONDecodeError, KeyError, TypeError):
+        logger.warning("Linear webhook missing/invalid webhookTimestamp — rejecting")
+        return False
+    if not isinstance(ts_ms, (int, float)) or isinstance(ts_ms, bool):
+        logger.warning("Linear webhook webhookTimestamp is not numeric — rejecting")
+        return False
+    now_ms = datetime.now(UTC).timestamp() * 1000
+    if abs(now_ms - ts_ms) > LINEAR_WEBHOOK_MAX_AGE_SECONDS * 1000:
+        logger.warning("Linear webhook timestamp outside freshness window — rejecting")
+        return False
+    return True
+
+
 def verify_linear_signature(body: bytes, signature: str, secret: str) -> bool:
-    """Verify the Linear webhook signature.
+    """Verify the Linear webhook signature and replay-freshness window.
 
     Args:
         body: Raw request body bytes
@@ -1348,15 +1372,17 @@ def verify_linear_signature(body: bytes, signature: str, secret: str) -> bool:
         secret: The webhook signing secret
 
     Returns:
-        True if signature is valid, False otherwise
+        True if the signature is valid AND the signed timestamp is fresh.
     """
     if not secret:
         logger.warning("LINEAR_WEBHOOK_SECRET is not configured — rejecting webhook request")
         return False
 
     expected = hmac.new(secret.encode("utf-8"), body, hashlib.sha256).hexdigest()
+    if not hmac.compare_digest(expected, signature):
+        return False
 
-    return hmac.compare_digest(expected, signature)
+    return _linear_timestamp_is_fresh(body)
 
 
 @app.post("/webhooks/linear")
diff --git a/tests/test_linear_webhook_replay.py b/tests/test_linear_webhook_replay.py
new file mode 100644
index 00000000..c0e4295c
--- /dev/null
+++ b/tests/test_linear_webhook_replay.py
@@ -0,0 +1,53 @@
+"""Replay-window enforcement for Linear webhook signature verification (AUTHZ-001)."""
+
+from __future__ import annotations
+
+import hashlib
+import hmac
+import json
+from datetime import UTC, datetime
+
+from agent import webapp
+
+_SECRET = "linear-signing-secret"
+
+
+def _sign(body: bytes) -> str:
+    return hmac.new(_SECRET.encode("utf-8"), body, hashlib.sha256).hexdigest()
+
+
+def _now_ms() -> int:
+    return int(datetime.now(UTC).timestamp() * 1000)
+
+
+def test_fresh_timestamp_accepted() -> None:
+    body = json.dumps({"type": "Comment", "webhookTimestamp": _now_ms()}).encode()
+    assert webapp.verify_linear_signature(body, _sign(body), _SECRET) is True
+
+
+def test_stale_timestamp_rejected() -> None:
+    stale = _now_ms() - 10 * 60 * 1000  # 10 minutes old
+    body = json.dumps({"type": "Comment", "webhookTimestamp": stale}).encode()
+    # Signature is valid, but the timestamp is outside the freshness window.
+    assert webapp.verify_linear_signature(body, _sign(body), _SECRET) is False
+
+
+def test_future_timestamp_rejected() -> None:
+    future = _now_ms() + 10 * 60 * 1000
+    body = json.dumps({"type": "Comment", "webhookTimestamp": future}).encode()
+    assert webapp.verify_linear_signature(body, _sign(body), _SECRET) is False
+
+
+def test_missing_timestamp_rejected() -> None:
+    body = json.dumps({"type": "Comment"}).encode()
+    assert webapp.verify_linear_signature(body, _sign(body), _SECRET) is False
+
+
+def test_non_numeric_timestamp_rejected() -> None:
+    body = json.dumps({"type": "Comment", "webhookTimestamp": "not-a-number"}).encode()
+    assert webapp.verify_linear_signature(body, _sign(body), _SECRET) is False
+
+
+def test_bad_signature_rejected_even_when_fresh() -> None:
+    body = json.dumps({"type": "Comment", "webhookTimestamp": _now_ms()}).encode()
+    assert webapp.verify_linear_signature(body, "deadbeef", _SECRET) is False