Spidey's shoes have track spikes on them but they don't impair his ability to climb. That's not how his climbing power works.
Plus, I find it funny that SOOOOOOO many people are *****ing about that when in the Raimis series, which all of those people love, Peter climbed with shoes on in at least 1 scene in every movie, varying from sneakers to frickin dress shoes yet when the new Spidey wears sneakers with track spikes, World War 3 breaks out and this movie is gonna be the worst thing ever.......
BTW, I've watched The Social Network twice in the past day and I still think Jesse Eisenberg is the best actor to play Harry. He has that awkward bitterness the character needs and his chemistry with Andrew Garfield is some of the best I've ever seen on film.