Funny thing, I had to go back and play this game twice! after reading some of the comments on pushing Z to switch directions. I realized there's more then just bouncing off the walls and platforms.
So this brings two things to mind! First, Maybe put jump on a cooldown, or maybe a limit on number of jumps you can perform during the level. I actually had more fun trying to navigate bouncing off the walls to platform and make it to my goals then easily switching directions.
2, if you wanted to expand on this idea, maybe have it switch between jumping and moving. so one level you would control the movement but not the jumps. So your character would just be endlessly jumping. you would then have to navigate so you don't jump into spikes.
nice job!