Drink for a joke during speech (6)
I believe the answer is:
ingest
'drink' is the definition.
(thesaurus)
'for a joke during speech' is the wordplay.
'for a joke' becomes 'injest'.
'during speech' indicates a 'sounds like' (homophone) clue.
'injest' sounds like 'INGEST'.
(Other definitions for ingest that I've seen before include "Absorb, assimilate" , "Gets in (anag.)" , "Take (food) into the body" , "Take in with tinges" , "Take nourishment into the body" .)