Very nice art style - I really like the colour palette, and the little lights on all the interactive elements really make them pop in a way that's easy to read. The climbing and swinging mechanics worked really well, and added an interesting dimension to the traversal.
I really struggled with the level design, though, it wasn't really obvious where you were supposed to go, and the anticipation for the jumping took quite a bit of getting used to. Also, I don't think there's any audio, so I couldn't give it any points on that front.
The theme and limitation were both implemented well at a mechanical level, and make perfect sense within the narrative that was presented.