Nice game! Really gave me some "The World's Hardest Game" nostalgia with the controls and general aesthetics. Everything felt crisp and had a good game feel to it, and having death be a reset was used for some interesting scenarios (I liked the "lockpicking" level in particular).
The game was pretty difficult, with the time limit requiring what seemed to be near-perfect play -- I wasn't able to finish the elevator level, personally. Also I agree with HLBC about the timer. A good fix might be to only start the timer once the player starts moving at the start of each round, so the player can get a good lay of the level before immediately being thrown in without having to worry about running down the clock.
Solid submission! Good work!