Nice game!
The Controls were surprisingly smooth. I'm not used to using W for jump, but I found it pretty simple to move around and get to where I wanted, which is a common pitfall I see many game jam fall into. Only things that I noticed that were weird with the movement, was holding W would make you continuously jump, which if you were holding w to get more height and barely clip the floor of another platform, you'll jump again which may throw you into a trap. (Had this on the final jump) You could also hang onto walls if you held into them, don't know if this was intended, since you couldn't jump off of them.
For as simple as the story is, its good. I can see more added to it with the "controller" of the tower continually doing things to mess with the player. Maybe more fake-outs and such, like the exit only leading to another tower, or goes nowhere.
Nice job!