Interesting concept! I always enjoy these types of movement puzzles.
I found it a bit too easy to cheese by walking in place, but I think it was the right call for a jam game. If you want to make it harder you should only allow the reflection to move if your character moves (for example, you cannot make your character walk against a wall to position the reflection better).
Also, I had trouble with the tight spots as it is a bit hard to know when you will collide or not.
Overall I enjoyed my time with the game!