I love the idea, Pheylorn.
Some critique on the implementation though:
The clocks should be countdown clocks, i.e. counting down to midnight, like all the others in Apocalypse World. That means 0:00 is “no problems so far”, and movement clockwise is a bad thing. The last three segments, from 9:00 to 12:00, are where the harmful shit happens, and it's all over by 12:00.
So, “Food” for example becomes a “Hunger” countdown clock:
0:00 ? year of plenty! Treat want: hunger as no effect, or treat want: famine as want: hunger.
3:00 ? food is in good supply. +1 to wealth/fortune/moonlighting rolls.
6:00 ? you have some extra food to throw around.
9:00 ? there's just enough to go around.
10:00 ? food is getting scarce, if you don't start to ration you're all dead in days. Move the despair clock one tick forward.
11:00 ? your stores are empty, whatever is out there is all that's left. Move the desertion clock one tick forward.
12:00 ? your hardhold is wracked with starvation and desertion. Move the morale and desertion clocks one tick forward; if either is before 9:00, they're at 9:00 now.
Similar changes for the other clocks, which become countdowns to bad shit. “Morale” becomes “Despair”; “Water” becomes “Thirst”; “Population” becomes “Desertion”.
The moves by PCs to improve the clocks become “remove a marked segment from the countdown”, just as with other countdown clocks in Apocalypse World.