Very fun mechanics and quite a challenge! I also like the style and the music fits very well. Only the alarm sound can get annoying after a while.
Gameplay wise I couldn't find the exit of the second level, but was instead jumping over the edge of the map. For ease of playing I also agree with @yonixw that beeing able to move with AD would be helpful, as this reduces the time spend creeping around a long edge.
Nicely done!