Student teacher finds one chewing cud (5)
I believe the answer is:
llama
'one chewing cud' is the definition.
(animal which chews cud)
'student teacher' is the wordplay.
'student' becomes 'l' (as in L-plates for learner drivers).
'teacher' becomes 'lama' (a lama is a spiritual teacher in Buddhism).
'l'+'lama'='LLAMA'
'finds' is the link.
(Other definitions for llama that I've seen before include "Camel-like animal" , "Animal related to camels but smaller and lacking a hump" , "As bearer of burdens" , "South American beast of burden" , "Alpaca-like animal" .)