Can I see my tracked time by day and by week?

Yes. Kliently gives you both a daily view and a weekly view of your time. The daily view is good for reconstructing a single day; the weekly view is how you see whether you actually hit the hours you planned and where the time really went.

Both views are filterable, so you can narrow down to exactly the slice you care about — one project, one team member, or only the entries that are billable. It turns a wall of entries into an answer.