Great concept! Really enjoyed thinking through the puzzles!
The controls could do with some work though, it was hard to understand which way the lanterns would turn based on the mouse click, and the difficulty ramps up very quickly after the tutorial stages. The time limit also doesn't really add anything to the game, and you can just restart the puzzle after you fail anyway, and I didn't see a reason to use the shop.
Would love to see it fleshed out into a full release!