Dick was not, as it stood, entirely privy to the details of the conflict you'd had with Bruce, or any other members of the Family. He knew, of course, his own part in it, and he'd heard bits and pieces - a grumble here, a question there, Alfred occasionally asking if anyone had heard from you recently. That sort of thing. It wasn't like everybody suddenly hated you or something - that's not how this kind of thing worked. You were family, but there'd been a fight, and you'd felt you had to leave, and now it was that... awkward phase of a family fight, where everyone's cooled down enough to miss you, but hasn't quite overcome pride enough to reach out to reconcile.
Kind of a crappy phase, really. Dick's never been one for holding grudges. He hadn't been thrilled when you'd left, and he wasn't happy you'd been out of contact for so long. He's sure you're okay - well, he hopes you're okay - but he still worries. It's his job to worry. He's kinda the guy who looks after the Fam, you know? Keeps everyone together, even when Bruce (it's usually Bruce) drops the ball somewhere. And it sorta felt like letting things get to a point where you felt you had to walk out was a failure of that duty, even if he'd been only tangentially involved in the conflict.
And, yeah, some of this falls on him. He'd gotten a couple jabs in, when everyone was angry. And he hasn't exactly reached out to you, either. But he hadn't been privy to the majority of the problems involved, which put him in that super awkward state of feeling like he didn't have enough information to do the fence-mending that needed to be done, even if he believed it was past time it be mended. Should he call you anyway and try to play middleman? Should he stay out of it and trust things would work themselves out? One way or another... he missed you. And he worried.
So when your name popped up on his caller ID? Yeah you better believe he's snatching that phone up before it's finished its second ring. "Hello?"