A unique concept that may be first of its kind! Well thought and well made! I liked the background music, it's so relaxing and you forget the time while playing the game (pun intended).
To make things more competitive, I wish there was a time pressure for adjusting the clock. The timer would have calculated the shortest way and calculate radians and required time to get to those area, then player would only one choice out of two rotation ways, if player chooses a wrong way, time would probably run out. Here's what I meant:
In this approach, we won't have to press Q + P at the same time, if we just hit 4:29, game will automatically gives us a new target time.
I wrote those in case if you want to update this into the 'final jam version'. You could also add leaderboards as a last touch for chef's kiss.
This has a potential of becoming a cute competitive game, I hope you'll use that potential. Apart from that, good job!
If you are not busy, I would highly appreciate if you could check out my game. Have a great day!