Back university for religious type (5)
I believe the answer is:
hindu
'for religious type' is the definition.
(I've seen this before)
'back university' is the wordplay.
'back' becomes 'hind' (synonyms).
'university' becomes 'U' (abbreviation for university).
'hind'+'u'='HINDU'
(Other definitions for hindu that I've seen before include "Follower of India's main religion" , "Indian religious adherent" , "Adherent of Indian religion" , "Follower of great Indian religion" , "Most of the Indians are" .)