There's this fic I read where Dick is really young, and Superman is trying to make a grudging Batman his friend, so they all go out to a diner for a late dinner. And it has Bruce being a little jealous of how excited and happy Dick is to meet Clark, Dick being jealous when he sees a couple of kids with their mom (the story was meant to take place not long after Dick's parents died, IIRC), and then Clark being a bit jealous when he sees that Dick seeks out Bruce when he's feeling unwell.
It's not big-time jealousy or mean-spirited or anything, but it's that little twinge of envy.