Nice! The idea is quite fun and you've worked with the limitation quite well.
I couldn't quite try it out in the intended way since I currently have no-one to play it with me but I can see how it would be fun.
I don't know if it was just me but the background music volume was a bit low even after increasing my volume(menu volume is fine) . It's not much of an issue though.
Also, there is this occasional issue where you get stuck in the corners of a ledge. Again, it only happens rarely so not much of an issue gameplay wise.
Great work on your first game!