I'm usually terrible at puzzle games, but I breezed through about the first half of the tower before I started to get stumped. There was a glitch with grabbing the dice that became pronounced while I was pecking away at one particular level...sometimes it would grab the die, sometimes it simply wouldn't, and other times it would grab it and then wig out. Aside from that, I really enjoyed the atmosphere! The music was catchy.
I also couldn't figure out how to get into the chests, so I just didn't even bother with them. Nice work though!