Deity has huge bit of an eye (6)
I believe the answer is:
osiris
'deity' is the definition.
(Osiris is an example)
'huge bit of an eye' is the wordplay.
'huge' becomes 'os' (abbreviation for outsize).
'bit of an eye' becomes 'iris' ('iris' is part of 'eye').
'os'+'iris'='OSIRIS'
'has' acts as a link.
(Other definitions for osiris that I've seen before include "once highly esteemed by Egyptians" , "Husband of Isis, father of Horus - sis or I (anag)" , "Egyptian god - sis or I (anag)" , "Egyptian god of the dead" , "underworld boss" .)