It was Google Drive!!!
Apparently, the Docs app has been updated to Google Drive.
Still exploring. More to follow.
Update 1: You get 5 gigs of storage space to begin with.
Update 2: It is ICS optimized (no annoying 3 dots). Why the Docs app wasn't optimized becomes clear now.
Update 3: The app is a bit rough around the edges. Stuttery scrolling and some low-res graphics.
Update 4: Drive supports upto 30 different file formats. Some (like PSDs) cannot be previewed by the app but can be in the web version.