Awesome! If I were to make any improvements, I would make it so that directly after wall jumping, dashing will make you go in the direction you hold, and clinging to walls with upward velocity doesn't slow your upward movement. Regardless, this is some fucking solid gameplay! It genuinely feels really good to control, and is super easy to pick up. You definitely could offer quite the range of difficulty in the full game, it really is appealing to all skill levels I think.
Not sure if you plan on it, but some powerups in the final game would be cool. I know people don't like them for platformers like these but I think it could offer some interesting variety, and make opportunities for more interesting levels.