Very original, innovative and fits perfectly with the theme! The idea is really funny, I laughed a lot. The style and overall look are perfect.
I found the game redundant after some time. It was just going from one clock to the next whenever it would pop up in the UI. There weren't enough people relative to the map size so I never had to worry about them seeing me rewind the clocks. Increasing the concentration of people would easily fix this.
I would also like to have more choice instead of just running around. Here are a few ways you could implement that in future versions, if any:
An intermediate between the good clocks and the clocks that need to be re-winded. So a 3 o clock, 4 o clock and 5 o clock. The 4 o clocks would appear on the UI so you know you gotta change them, but they don't cause people to go home. People will choose between clocks while considering their distance and urgency. Also, that way people don't go home before you could even get to the clock, which I find annoying.
A mini map that covers the entire map and shows where the people and clocks are. That way the player has a better idea of where people are and can choose which clock to prioritize based on how many people are nearby.
Overall, excellent job! This is my favorite take on the theme!