Animal ultimately going for synagogue official (5)
I believe the answer is:
rabbi
'synagogue official' is the definition.
(rabbis are Jewish religious teachers)
'animal ultimately going' is the wordplay.
'animal' becomes 'rabbit' (I've seen this before).
'ultimately going' means to remove the last letter (the last or ultimate letter is removed).
'rabbit' with its last letter taken away is 'RABBI'.
'for' is the link.
(Other definitions for rabbi that I've seen before include "A Jewish clergyman" , "Jewish religious teacher" , "Sacks, for example" , "Jewish minister" , "Spiritual leader of a Jewish congregation" .)