diff --git a/static/js/offline-tasks.js b/static/js/offline-tasks.js
index 916741b..bdff02d 100644
--- a/static/js/offline-tasks.js
+++ b/static/js/offline-tasks.js
@@ -117,7 +117,14 @@ function escapeHtml(str) {
 function isTaskOverdue(task) {
     // Mirrors Task.is_overdue in tasks/models.py.
     if (!task.due_date || task.status === 'completed' || task.status === 'cancelled') return false;
-    return task.due_date < todayLocalStr();
+    const today = todayLocalStr();
+    if (task.due_date < today) return true;
+    if (task.due_date === today && task.due_time) {
+        const now = new Date();
+        const nowStr = `${String(now.getHours()).padStart(2, '0')}:${String(now.getMinutes()).padStart(2, '0')}:${String(now.getSeconds()).padStart(2, '0')}`;
+        return task.due_time < nowStr;
+    }
+    return false;
 }
 
 function renderTaskItem(task, tagsBySyncId) {
diff --git a/tasks/models.py b/tasks/models.py
index ccc6f69..fb3d051 100644
--- a/tasks/models.py
+++ b/tasks/models.py
@@ -155,16 +155,19 @@ class Task(models.Model):
             from django.utils import timezone
             from zoneinfo import ZoneInfo
 
-            # Get current date in user's timezone
+            # Get current date/time in user's timezone
             try:
                 user_tz = ZoneInfo(self.user.timezone)
                 user_now = timezone.now().astimezone(user_tz)
-                user_today = user_now.date()
             except (Exception,):
                 # Fall back to UTC if user timezone is invalid or missing
-                user_today = timezone.now().date()
+                user_now = timezone.now()
 
-            return self.due_date < user_today
+            if self.due_date < user_now.date():
+                return True
+            if self.due_date == user_now.date() and self.due_time:
+                return self.due_time < user_now.time()
+            return False
         return False
 
     @property
diff --git a/tasks/tests.py b/tasks/tests.py
index 6bd8a97..9359a45 100644
--- a/tasks/tests.py
+++ b/tasks/tests.py
@@ -1,7 +1,9 @@
-from datetime import date
+from datetime import date, datetime, time as dt_time
+from unittest.mock import patch
 
 from django.contrib.auth import get_user_model
 from django.test import TestCase
+from django.utils import timezone as django_timezone
 
 from tasks.models import Task
 
@@ -85,3 +87,49 @@ class CustomRecurrenceTests(TestCase):
         parsed = task.parsed_custom_recurrence
         self.assertIsNone(parsed['freq'])
         self.assertEqual(parsed['byweekday'], [])
+
+
+class IsOverdueTests(TestCase):
+    """Tests for Task.is_overdue, which must account for due_time, not just due_date (Gitea #7)."""
+
+    def setUp(self):
+        self.user = User.objects.create_user(
+            username='overdueuser',
+            email='overdueuser@example.com',
+            password='testpass123',
+        )
+
+    def make_task(self, **kwargs):
+        defaults = {'user': self.user, 'title': 'Test task', 'status': 'pending'}
+        defaults.update(kwargs)
+        return Task.objects.create(**defaults)
+
+    @patch('django.utils.timezone.now')
+    def test_not_overdue_before_due_time_same_day(self, mock_now):
+        mock_now.return_value = django_timezone.make_aware(datetime(2026, 1, 15, 8, 0, 0))
+        task = self.make_task(due_date=date(2026, 1, 15), due_time=dt_time(17, 0, 0))
+        self.assertFalse(task.is_overdue)
+
+    @patch('django.utils.timezone.now')
+    def test_overdue_after_due_time_same_day(self, mock_now):
+        mock_now.return_value = django_timezone.make_aware(datetime(2026, 1, 15, 18, 0, 0))
+        task = self.make_task(due_date=date(2026, 1, 15), due_time=dt_time(17, 0, 0))
+        self.assertTrue(task.is_overdue)
+
+    @patch('django.utils.timezone.now')
+    def test_not_overdue_same_day_without_due_time(self, mock_now):
+        mock_now.return_value = django_timezone.make_aware(datetime(2026, 1, 15, 23, 59, 0))
+        task = self.make_task(due_date=date(2026, 1, 15), due_time=None)
+        self.assertFalse(task.is_overdue)
+
+    @patch('django.utils.timezone.now')
+    def test_overdue_once_date_has_passed(self, mock_now):
+        mock_now.return_value = django_timezone.make_aware(datetime(2026, 1, 16, 0, 1, 0))
+        task = self.make_task(due_date=date(2026, 1, 15), due_time=dt_time(23, 0, 0))
+        self.assertTrue(task.is_overdue)
+
+    @patch('django.utils.timezone.now')
+    def test_completed_task_never_overdue(self, mock_now):
+        mock_now.return_value = django_timezone.make_aware(datetime(2026, 1, 15, 23, 0, 0))
+        task = self.make_task(due_date=date(2026, 1, 1), due_time=dt_time(9, 0, 0), status='completed')
+        self.assertFalse(task.is_overdue)
diff --git a/templates/sw.js b/templates/sw.js
index 4d173b1..0650054 100644
--- a/templates/sw.js
+++ b/templates/sw.js
@@ -1,4 +1,4 @@
-{% load static %}const CACHE_NAME = 'keepitgoing-shell-v8';
+{% load static %}const CACHE_NAME = 'keepitgoing-shell-v10';
 const OFFLINE_URL = '{% url "offline" %}';
 const OFFLINE_TASKS_URL = '{% url "offline-tasks" %}';
 
@@ -18,7 +18,19 @@ const PRECACHE_URLS = [
 
 self.addEventListener('install', (event) => {
     event.waitUntil(
-        caches.open(CACHE_NAME).then((cache) => cache.addAll(PRECACHE_URLS))
+        caches.open(CACHE_NAME).then((cache) =>
+            // cache.addAll() lets the browser's own HTTP cache satisfy each
+            // fetch - static assets here have no Cache-Control/ETag (only
+            // Last-Modified), so a heuristically-cached stale response can
+            // silently win even on a CACHE_NAME bump. { cache: 'reload' }
+            // forces a real network round-trip so precache always reflects
+            // what the server currently serves.
+            Promise.all(
+                PRECACHE_URLS.map((url) =>
+                    fetch(url, { cache: 'reload' }).then((response) => cache.put(url, response))
+                )
+            )
+        )
     );
     self.skipWaiting();
 });