Nice story and concept! A suggestion I have is that I think it would be better if the loops took longer to complete (since it is a puzzle game so it gives time to think about the puzzle) or if you could control when they stop.
Glad you liked it. Yeah that's a good idea, being able to pause the timer to and prevent looping whilst still allowing you to move around, would probably be good, definitely would allow people to think out the puzzle first or read the signs.