I loved giving this game a try - the art and music are charming, and the sense of momentum feels great! I couldn't make it past the bit on level 2 with the spikes on the floor and ceiling, but getting used to the primary mechanics felt really rewarding ^^.
My only suggestion (if you don't mind) is adding a sort of coyote time for the walls (so there's a small window to grab onto them, even if you hit one) in mid-air.
Great job!