Really, really cool. There are a few issues/bugs I found while playing, also a few suggestions to make the controls and actions feel better.
I found a few bugs, like when you're in front of the blue building that you can go in with the stairs and the logo at the top, there's a bit of ground you can fall into. And one of the open walls at the edge of the main area can be skipped over and you can go into the amalgamation of no collision blocks and get to the edge of the map and fall into oblivion. Also, there's a rare chance for your arms and hands to stay raised after climbing a wall, which can be fixed just by running.
Some suggestions is when you've grabbed onto an edge and are hanging from a wall, you look up towards your hands instead of straight forward, because it's disorienting and makes it hard to determine if I'm falling (if I missed the wall) or hanging. Another suggestion is to make it so that you hold the space button to wall run instead of hoping for the game to respond correctly and stick you to the wall when jumping at it (which was also a problem in the first mirrors edge, which was frustrating). Last thing, when jumping off a wall you're wall running on, make it so that it shoots you in the general direction of where you're looking, instead of launching you sideways.
Great game though, hope it receives all the support it deserves! :)