Unfortunately what you're describing is a real world example

Just like a journal or punch-card style task tracking, where it's the punch - the current time grab + current client/project/tast - that defines what's recorded.
From what I've seen the OnCore folks don't live in the real world. Their "Select the Client first, then start a timer" workflow is unsuited to a mobile platform and more like retrospective time sheeting.
There's a fundamental flaw with the way TimeMaster has been developed which seems to be a UI and database limitation, almost like this app was developed as a prototype iPhone DB, then upsized to iPad with no real usability study or innovation beyond their archaic DB.
The whole app needs to be re-thought -- take a look at your successful competitors, those with hundreds of thousands of users!
Yes, I am a TimeMaster OWNER(you probably count me when you try to say "we -are- in the real world look at our thousands of USERS!") but I am not a TimeMaster USER...