Babs and Dick hook up and split up (always completely amicably) over and over again in the comics, over the years. In my mind, they completely belong to each other - but are allowed to see other people *grins* They always seem happy to tease each other about their new romantic interests and never seem to be jealous, but as soon as there's no other interests in the picture (or sometimes even when there is) they're making out in the back of her surveillance van. That's one of the things I love about them. There was some really great interaction between them during Officer Down (I'm not sure if you've read it - it was from the part of Chuck Dixon's career when BoP and Nightwing were practically the same comic series.

I'm vastly out of date, myself, and this new interest starherd has unintentionally sparked has had me reading trade paperbacks on the couch at my local bookstore (as I am too broke to ever catch up).