Trendy way one student mostly identifies academy (9)
I believe the answer is:
institute
'academy' is the definition.
(thesaurus)
'trendy way one student mostly' is the wordplay.
'trendy' becomes 'in' ('in' can mean fashionable).
'way' becomes 'st' (abbreviation for street).
'one' becomes 'i' (Roman numeral).
'student' becomes 'tutee' (someone being tutored).
'mostly' means to remove the last letter.
'tutee' with its final letter removed is 'tute'.
'in'+'st'+'i'+'tute'='INSTITUTE'
'identifies' acts as a link.
(Other definitions for institute that I've seen before include "order as before" , "Set in motion, establish" , "Scientific, educational or social organisation" , "Found; an establishment" , "Establish, educational organisation" .)