Can’t select or restore file from Time…: Apple Support Communities. So if you have dual monitors this is the cause. Thanks Alan for the solution.
I’ve been having this problem too, but think I have found a solution.. It seems to be a bug with Mavericks and its support for dual displays.
When entering Time Machine my Finder windows were on my 2nd display but the Star Wars screen of TM always opens on the primary screen. If however I move the Finder onto the primary screen and then enter Time Machine I am able to slect things within the Time Machine display as I should be able to.
Give it a go and see if that works for you (assuming of course that you have dual monitors).