Excellent concept, very well executed too. I'm a big fan of the twist you put on the main mechanic near the end, that was delightful. The "swinging" is definitely a bit undercooked, but it's something you can get used to and for a game jam it's quite functional.

As far as suggestions go, the visual clarity needs some work: maybe try darkening the background tiles so it's easier to tell what is a wall or floor and what's just decoration; and I had a hard time at first differentiating what you can grapple and what you can't, maybe you could put a little sparkly animation on the grapple points to make them really pop off the screen.

Really cool concept! The grappling hook mechanics were fun to figure out how they fully work.

I did soft lock myself pretty early on without a chance to reset though :( 

The background very often gets confused with the walls and all of that, but other than that very original!