I enjoyed playing your game and thought the movement system was pretty solid. It takes some getting used to though and I think that's because your movement doesn't flow into each other really well. It needs a little spice to connect the pieces. Some one else mentioned momentum and that might be what its missing.
The level design was cool but if you mess up its pretty frustrating. I like the verticality of it and don't want you to change that, but as you start building your game more you should start considering checkpoints or even multiple floors so that if your players fall they don't have to climb all the way back up every time. I look forward to seeing how this turns out!