('US, somewhat old-fashioned') The quarterback of the football team is a real 'big man on campus'. [=he is important and well-known]
She prefers living 'off campus'. [=she prefers not living in the dormitories/housing provided by the school]
How do you like living 'on campus'? [=in the dormitories/housing provided by the school]
(..) gonna testify under oath... that they had absolutely no recollection of anything. - Strong witnesses. - And handsome too, don't you think? I'll see you around campus. I gotta go arrest Kendrick. Tell him I say hi. Will do. (..)1992 A Few Good Men