Clint didn't back away, or stop her. He'd missed her, even if it had only been a day. Part of him had known it was stupid to run off the way he had, Kate had told him that enough, and Jessica, and Natasha and Bobbi. But he'd needed the time to wrap his mind around the things he'd seen and try to understand it all before he said or did something he really would regret later. Losing the others had been hard, losing this might break him.
"Shh." he just whispered softly, ever conscious of the little boy watching both of them with wide, nervous eyes. He didn't want Bucky to be the way they were, always so scared and broken and never thinking they were worth the things they loved. He had a chance here, Clint didn't want to ruin that. "It's our home. And we can talk about all of that in the morning." he told her gently, reaching up to brush her cheek with the back of his finger.
Bucky scoot his way between them, cuddling up in the crease of their bodies with a yawn and wanting to be as close to both of them as he could get. "I didn't wanted anybody to go." he mumbled softly, peeking up at his mommy and daddy.