[keep company] {v. phr.}
1. To stay or go along with (someone) so that he will not be lonely to visit with (someone).
* /John kept Andy company while his parents went to the movies./* /I'll go shopping with you just to keep you company./
2. To go places together as a couple; date just one person.
* /After keeping company for one year, Mary and John decided to marry./* /Who is Bill keeping company with now?/ Compare: GO STEADY.