Primate giving bishop a blessing (6)
I believe the answer is:
baboon
'primate' is the definition.
(baboon is a kind of primate)
'giving bishop a blessing' is the wordplay.
'giving' says to put letters next to each other.
'bishop' becomes 'B' (abbreviation for bishop in chess).
'blessing' becomes 'boon' (synonyms).
'b' next to 'a' is 'ba'.
'ba'+'boon'='BABOON'
(Other definitions for baboon that I've seen before include "clumsy uncouth person" , "Large long-nosed Arabian or African monkey" , "Stupid person" , "animal" , "Uncouth type" .)