From Longman Dictionary of Contemporary Englishmove/change/keep up with the timesmove/change/keep up with the timesto change when other things in society, business etc change We’ve got to move with the times. → time
Examples from the Corpus
move/change/keep up with the times• Motoring: Can R-R keep up with the times?• The pub has made no attempt to keep up with the times ... no karaoke here ... just conversation. 