My suggestion is to change the "Time since last reset" statistic to "Time since start current reset" or something similarly worded.
Basically start the clock when you start the new run, instead of when you end the last one.

My reason:
Today I finished my run but didn't have time to start a new one so I got my idols and closed the game on the select campaign screen.
I then started the run later today, when I wanted to check my time to see how long it has been so far it said nearly 8 hours, even though I couldn't have played for even 1.
Had I selected the timed mission (which I haven't completed yet) I might have instantly lost that one (I'll test that next reset).
Either way you are not capable of seeing how long your current run actually is, which is a minor inconvenience when you want to time yourself.

Finished my run and waited an hour to start new run, took the time challenge.
Stats said 1 hour since last reset but timer said 1:20 hours (as it should).
So no bugs but it just feels really weird and I'd like to see it changed.