Meaning of “chase sb up” in the English Dictionary

british dictionary

"chase sb up" in British English

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chase sb up

phrasal verb with chase uk /tʃeɪs/ us /tʃeɪs/ verb

to ask someone to do something that they promised to do but that have not yet done:

If you don't hear from the builders this week, make sure you chase them up.
I must chase my flatmate up about those bills and see if she paid them.

(Definition of “chase sb up” from the Cambridge Advanced Learner’s Dictionary & Thesaurus © Cambridge University Press)