I thought the wall jumping was excellent and a very difficult thing to get right. That said, I fell off the wall jump before the spikes several times.
Unfortunately, and though I'm a hardened (and old) gamer, it's a bit harder than I could handle. It's a bit Japanese / UK 80s platformer tier difficult :) I would suggest ramping up the difficulty more gradually and possibly include checkpoints (if you didn't already)
I got as far as the spikes where I guess I need to do a mid-air possession to get past - reading eclipse's comment.
Loved the art style and wall jumping, though!