This was a decently challenging platformer. Not exactly visually stunning, the art style here is really simplistic. But you can tell what everything is, so I'm not complaining.
Now, for mechanics; I would have preferred that bouncing off a cop not be tied to the same element of timing that the vault is. I was thinking the Mario method would have been better. You just jump on them, and that'll bounce you up and away. That would also make getting off the ground if you fall a bit easier, since the later stages, and especially the final one, don't usually give you the space you need to boost yourself back up to the rooftops.
Would that break the challenge? I don't think so. The game gets faster the longer you go without taking a hit, and the levels get a lot less generous with obstacle spacing as you advance. There is the concern that the player would just head-bounce their way through each level, though. I'd suggest maybe an obstacle that punishes them for it-- like a police drone, or birds, or something, that'll slow you down if you bounce at the wrong time.
Anyway, pretty good game. 3.5/5 stars, and have a good one.