Definition of take up on phrasal verb from the Oxford Advanced Learner's Dictionary

 

take up on

 phrasal verb
phrasal verb
 
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Phrasal Verbs

    take somebody up on something

     
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  1. 1to question somebody about something, because you do not agree with them I must take you up on that point. I’d like to take you up on what you said earlier.
  2. 2(informal) to accept an offer, a bet, etc. from somebody Thanks for the invitation—we'll take you up on it some time.
See the Oxford Advanced American Dictionary entry: take up on