Great looking game with smooth controls!
The vision is limited, it might be better to position the camera further ahead rather than centered on the character herself. As it is now there are a lot of blind jumps which can lead to danger, but to the game's credit those jumps usually lead to safety instead. There's one search light per level which caught me unaware.
Some important information which isn't immediately given to the player is the ability to jump on the guard's to defeat them. It would also be nice to track the gems per level rather than just the gems collected. Having 5/10 encourages more exploration. Though in the rooftop section this is less of an issue. (Unless I missed secret stashes.) I final score tally at the end would be great, too! Otherwise how will I know how much swag is in that bag?