Mae West keeps farm animal (3)
I believe the answer is:
ewe
'farm animal' is the definition.
(I've seen this before)
'mae west keeps' is the wordplay.
'keeps' says the answer is hidden in the clue.
'EWE' is hidden within 'mae west'.
(Other definitions for ewe that I've seen before include "Ruminant" , "Female ovine" , "Lamb's dam" , "Female in a fleece?" , "Wool producer" .)