By mouth or by name (4)
I believe the answer is:
oral
'by mouth' is the definition.
(oral can mean relating to the mouth)
'or by name' is the wordplay.
'by' is a charade indicator (letters next to each other).
'name' becomes 'al' ().
'or'+'al'='ORAL'
(Other definitions for oral that I've seen before include "Spoken exam" , "Concerning the mouth" , "Spoken - examination" , "Using speech rather than writing" , "Relating to the mouth - exam" .)