I don't think Dinah needs a secret identity, per se, but it would be nice to see her (and pretty much every other hero these days) off the clock once in awhile. It seems like every DC character is in costume 24/7 these days, and has been for a long time.
Like Tzigone said, I miss seeing Dinah work a 9-5. And Ollie making chili for the JL, and Kyle Rayner having coffee at Radu's, and... well, the list goes on and on.