That mechanic is amazing, and really fits the theme well! The whole game (art, music, gameplay, etc.) feels very cohesive and polished. Even the little story was pleasant. Quite impressive for a jam game.
I think the mechanic especially begs for expansion. Could see this as a full game easily.
I did manage to softlock myself at one point, and had to restart. Here is a screenshot of where, just because it's easier than trying to describe it:
I fell behind that log, and was unable to jump back up. Going the other way left me with no way to get back up the pit. This didn't have any effect on my rating; just letting you know in case you have plans to expand this and want to keep this level segment in. If you don't have any such plans, please ignore!
Overall, this is a nice experience. Probably my favorite mechanic of the jam, and one that I really would love to see go further. Great work!