Hmm okay I can say what you're aiming for. If I could change one thing about this game, I'd go for the controls. The whole stick-to-the-wall mechanic is almost impossible to control viably in level... I don't know, 4 or 5. But I like the idea of a simple puzzle platformer. Maybe you find a way to make this mechanic easier to use or to exchange it for a different one.
(in the level with the falling floor tiles, where you need to use the wall on the left side to climb, my character won't climb, but always just jump about 2 pixels high, and then stop, and there seems to be no way to overcome it).
edit: I figured out the issue is that, in order to wall jump, you need to first press into the opposit horizontal direction and then, a few frames later, press jump. So that's the point I'd improve if I could :-)