I want to like this, but I just find myself stupidly frustrated with it. The core mechanic is kind of interesting but kind of hard to figure out, but ultimately it's incredibly frustrating to actually do anything. I got up to the chamber of invisible wall bounce pillars and gave up. Clamber behaves kind of inconsistently, wall bounce is rather unpredictable about how it will behave and when you've successfully performed it (even just a sound when you hit it correctly would be a huge help), the tax for failing the jumping puzzles is fairly steep which discourages people from experimenting or taking risks (which they NEED to).
Switching between mechanics could be far better if they were hotkeyed, or something..?
I feel like you've made something where the mechanics make sense to you, but you've not really thought about the average player who doesn't already know the secrets, and doesn't know how your movement system is meant to work. My recommendation would be to get someone who you know to playtest it. Don't tell them anything about it, don't give them any hints, just give them the game and watch them play. Note down every time they get frustrated, or fail to make a jump, or when they say that they want to give up.
I'm not saying that you necessarily need to make your game easier, but I do think that you need to make it easier to become skillful enough to take on the difficult challenges that you've set up - if that makes any sense..?
I note that it's "in development" at the moment, so I hope to see updates that make this a bit more playable. It's a cool idea, and I'd like to see it work.