On mobile, you can already do this. Open any project and tap the clock to track time right there. Admins and managers can also tap a project’s clock to see that project’s time entries.
On the web app, time tracking lives on its own Time Tracking page in the left-hand menu, and hours don’t show on the project page yet. The Time Tracking page is where Admins and Managers view team hours, manage entries, and export data. To see one project’s hours today, open Time Tracking, filter to that project, and export if you need a copy. Here’s the walkthrough: How to Manage Time Tracking
Seeing time right on the project page is something we’ve heard from other customers too, and we’ve noted your vote. Feedback like yours helps shape what gets prioritized. Anything about your workflow I can help with in the meantime?