A fun game, but potentially not improved by the jam theme element - the random gravity mechanic would fit a lot better as a sub-element of a game where you usually had direct control of it, with short sections of random puzzles structured like this game.
With the random swaps, there's usually a way to float your way directly past the puzzle to the exit, which you could solve if the level design didn't need to have some slack built in to accommodate the inherent lack of control.