[quote=@rush99999]
Do obligations have time limits?
[/quote]

Not really. At the end of each session (chapter in this case), you check to see if you've fulfilled your obligation and if you have, you erase 1 Shadow. I might homebrew some extra rules about that to make it more interesting.

However, certain moves if you miss say 'you have incurred a obligation', implying you might have to finish the obligation in order to benefit from that move.