At first you have to get use to the controls but then they click and for example the foward double jump make much sense. There are some small problems with attaching yo ledges and snapping to the wall but they work most of the time. The level design is really great though it start rough right of the bat(an error? that I found myself guilty too) with some nice touches that I would have reserved for later stages.
I got a speedrunner bug that moved my player position upward in the wall stick animation.
Overall I enjoyed it a lot I found your approach to platforming really unique. The level design is were this game shines so if I can say that some work of polish needs to be done is on those small clipping issues the game have.
Oh the positional checkpoints are a great touch!