Better teacher said "Ask me another" (7)
I believe the answer is:
surpass
'better' is the definition.
(thesaurus)
'teacher said ask me another' is the wordplay.
'teacher' becomes 'sir' (way of addressing a male teacher).
'said' shows a homophone (sound like).
'ask me another' becomes 'pass' (you might say 'pass' to skip a question).
'sir' sounds like 'sur'.
'sur'+'pass'='SURPASS'
(Other definitions for surpass that I've seen before include "Transcend" , "supply best" , "Outstrip" , "Outdo" , "Exceed" .)