I was wondering how much fighting does Charlie Cox do and according to this article, a lot, but he has a stunt double who he switches off with for the hard stuff.
Spoiler , this appears to be a one-take fight, but comments in the article sounds like they could seamlessly make cuts without it being noticed. I'm impressed.
YouTube: video
Hallway Fight Scene
Kevin Smith's podcast "Fatman on Batman" episode #80 has Joe Quesada on it and they talk about this scene a lot. According to both Kevin and Joe, there are a couple takes on the scene, but none the less, this scene absolutely kicks butt!