keep up with

keep up with (third-person singular simple present keeps up with, present participle keeping up with, simple past and past participle kept up with)

1. To manage to remain beside or just behind someone or something that is moving away from one.
   • 1993, Neil Penswick, The pit, London: Virgin Books, pages 113–257:

     Blake needed to run to keep up with the indignant Doctor.

2. (figuratively) To manage to remain up to date with trends, fashions, etc
   • 1992, Hair Flair, London: Shaws Publications Ltd, pages 4–58:

     Keeping up with the latest hair trends as ever, Wella has just introduced Hair Sets in three variants.

3. To manage to follow an argument, a discussion, etc.

• keep up with the Joneses