I saw the interview, and it kinda annoys me. Close reading comes from broad reading - it's only after you've read a library of books that you get all the subtleties and references. There are all sorts of orthodoxies around reading propagated by philosophers, often ingenious ones, often trying to make some kind of backhanded point.
[Standing in his home library / office space]
INTERVIEWER: Did you read these?
DERRIDA: No, I haven't read these. I haven't read all the books that are here.
INTERVIEWER: But you've read most of them?
DERRIDA: No, no. Three or four. But I read those four really, really well.