The game mechanics made it seem like an artificial challenge rather than a game. Not enough variation of gameplay.
I also found a glitch where I could stick to an edge by holding the key for that edge and spam jump to jump up the edge. I suggest making it into a feature by allowing and disallowing surfaces to act like that and refining the jump from a surface. (one tap of the jump key. jump up or away?) You could also make ledges allow hanging.

A problem with the engine: When loading the game, my browser froze on this page. I'm not sure if you can do anything about that, but the NG loader is much friendlier.

Not a bad start! The one issue I had was jumping right next to a higher elevation, which is small now, but could be a problem with more complicated levels. The background art on the one level was tricky but looked awesome!

The game still contains a lot of bugs. It's nearly impossible to jump on some platforms. One of the legs keeps getting stuck in the wall and sometimes the character just keeps on moving without pressing any keys. Sorry, but I guess you should work on those problems again.

Buggy jumping. When jumping I can see a small black pixel away from the character. When player jumps and collides with a wall in mid air, player is stuck there until player goes in the other direction. Enemies' sprites don't turn around when going backwards. There is no tutorial. And I personally don't like the fact that music restarts when level restarts. And the winning screen is a disaster, sorry! 3/10