Seeing red borders on gent's new mesh (9)
I believe the answer is:
integrate
'mesh' is the definition.
(thesaurus)
'seeing red borders on gent's new' is the wordplay.
'seeing red borders' becomes 'irate' (I can't explain this - if you can you should give a lot more credence to this answer).
'on' is an insertion indicator (as in clothing 'on' a person).
'new' is an anagram indicator.
'gent' is an anagram of 'nteg'.
'irate' placed around 'nteg' is 'INTEGRATE'.
Can you help me to learn more?
(Other definitions for integrate that I've seen before include "Get together" , "Incorporate into the whole" , "Join" , "Organise a get-together" , "Combine into a whole, unite" .)