Cool game!
I got to the level with red saws, became a bit frustrating at that point. It's kind of a matter of taste, I've seen this mechanic of jumping before (only game that comes to mind now is "Balls?" by Dani) and I like how it was done here, but I think I would've personally preferred a more foddian approach to the levels, having you basically climb with no way of dying to obstacles and, instead, multiple (although manageable) ways of falling and losing progress. But that's just an opinionated idea, it'd be surely a different type of game.
In any case, I think this was well executed and the presentation is well done. Nice entry!