come running

come running

To come eagerly and enthusiastically, typically in response to some enticement. Without fail, if I bring in doughnuts to the office, everyone comes running. The kids don't exactly come running when it's time to do chores around the house.
See also: come, running

come ˈrunning

be pleased to do what somebody wants: He expects his wife to come running every time he wants something.
See also: come, running
References in classic literature ?
I had scarce shut the coach doors up, but I saw the milliner's maid and five or six more come running out into the street, and crying out as if they were frightened.
What do you think IB Timers, instead of reuniting with Kristen Stewart would Robert Pattinson come running back to Keough or he would get back with his ex-Kris Stew?
Each time without fail, he'll come running to hurl himself at the door when he sees me shutting it.