Jewish teacher has time for pet (6)
I believe the answer is:
rabbit
'for pet' is the definition.
(a rabbit might be kept as a pet)
'jewish teacher has time' is the wordplay.
'jewish teacher' becomes 'rabbi' (I've seen this in another clue).
'has' is a charade indicator (letters next to each other).
'time' becomes 't' (abbreviation).
'rabbi'+'t'='RABBIT'
(Other definitions for rabbit that I've seen before include "family pet?" , "Inferior sportsman" , "Meat" , "Small mammal (not good at sports)" , "Cony" .)