v.1. To run in a space in many different directions: The kids ran around in the park while we relaxed.
2. To be very busy doing something, especially when moving from place to place in order to do it: I've been running around getting ready for the party.
3. run around after To try hurriedly to obtain or catch something or someone: How long have you been running around after that pair of shoes?
4. run around with To associate or engage in activities with someone or something: I don't like the people you've been running around with—they're a bad influence!