As a member of the Bat Family, Barbara was blessed with a kind of internal punctuality clock, which lead her to be in the right places at the right times with time to spare. She used this to do a quick perimeter sweep of the Clubhouse and learn what she could about the place. Eventually, she made her way in, surveying the snack table and the freshly cleaned room.
She had never been in a kid's club. Dick had had an informal band of superhero friends, but she'd aged out of all of that--in college by the time any of them had gotten to know each other. Then Dick had broken up with her, and she'd pushed herself to be more of an adult to keep pace with Bruce. All this felt a little bit like child's play, but she knew she just didn't have a frame of reference for exactly what this was. She grabbed a bottle of water and settled into a corner for the moment.