Good idea, but has some problems.
First, the music, I actually kinda liked the music, unlike several of the reviews I saw. However something longer would be good since the game does take quite a while to do.
The controls are also a problem. Double jumping is not always recognized, especially when trying to jump off of a wall. Moving with only the arrow keys became uncomfortable pretty quickly, changing the jump button to space would help with that a lot. If we need to jump up walls let us jump while attached to the wall, trying to change directions and jump at the right time, AND hoping that double jump would register was frustrating and uncomfortable.
If you don't make wall jumping easier make the levels so they do not require "climbing" a wall.
I did not make it through the game. On the level with 2 jump platforms and door opening buttons I ended up falling through a brown wall which I think caused the flash to freeze since the time no longer ran and adobe said something about a script error. At that point I did not really want to go through that again, especially when there was the possibility that it could happen again.
Anyway, if the problems are fixed I'm sure it would be really good, but at this point it just does not feel ready.