This was very good!
I like the fresh take on the more general "time clone" idea; and it was very well done.
:)
It has a couple of bugs, but not really a problem because of how small each level is - just die and respawn in 1 second.
A couple things that I would suggest:
1) don't make the anomalies crashing into each other a fail condition - I died a few times because of an explosion off screen, so I couldn't even see what caused it, or how to prevent it on the next run; and
2) fill in the visible world that cannot be accessed with the grey walls instead of black - I did a suicide dive down the first pit, because I thought I saw accessible rooms down there (unless, there WERE visible rooms, and that was one of the secrets that I missed?).
Are you planning to work on it more after the jam to iron out bugs and polish it up?