Synonyms for Catch up with:

n.

shape, bring out, impact, put, take effect, affect, make a difference, interact, come into play. book, apprehend, breathalyze, body search, Breath Test, apprehension, bust, bounty hunter. catch up with (noun)
overtake, catch, make up.

v.

competition (verb)
catch, overtake.
social (verb)
make up.

Other synonyms:

Other relevant words:
catch.