Excellent creative idea. It wouldn't be out of place as a mechanic in Braid.
Graphics, sounds, music, levels, a nice menu... You've achieved a lot in a very short time! Congrats on a solid game.
Platforming controls are a little bit janky, and I'd love to see what things do what so I can plan my actions. Maybe a zoomed out view to begin with, and visible wires going between each switch. Oh, and a fast-forward or skip-to-next-loop key woulnd't go amiss if you return to this game in the future.
I love seeing a level skip in Jam games. Lets you experience all the content really easily. With 10,000 new games, nobody has time to play them all!