(idiomatic) To follow something through to completion or realization.
Example: 2006, David I. Cleland, Lewis R. Ireland, Project management: strategic design and implementation, p.83:
3M's culture and its organizational structure are all directed to encouraging its people to take an idea and run with it.
To be a member of (a gang or hooligan firm).
1920, Mary Roberts Rinehart, Avery Hopwood, The Bat, chapterI:
The Batâ€”they called him the Bat. [â€¦]. He'd never been in stir, the bulls had never mugged him, he didn't run with a mob, he played a lone hand, and fenced his stuff so that even the fence couldn't swear he knew his face.
2011, Carl L. Adams, Wanted: Lost Souls, p.59:
For about three years, I ran with several different gangs.
2012, John O'Kane, Celtic Soccer Crew
Some of these wannabe hooligans ran with the Celtic Soccer Crew for a number of years without ever being arrested or suffering as much as a broken nail.