Cute game, I like the player character and aesthetics especially!
The cog spinning mechanic is clever and fun to work with, there's just two things I'd change to make it feel a bit more natural: far offscreen platforms should teleport close to the screen when you're moving them towards it. Or there could be another cog type that moves faster the more you spin, to fix the long waiting issue on particular cogs. Also, it would be nice if spinning the mouse wheel could grab things without the need to click.
The collision and jumping feels off at times, but that's okay since the puzzle solving seems to be more of a focus than precision. Great work!