Primate's rage directed at band (5,3)
I believe the answer is:
great ape
'primate's' is the definition.
(great ape is a kind of primate)
'rage directed at band' is the wordplay.
'directed' indicates an anagram.
'at' means one lot of letters go next to another.
'band' becomes 'tape' (I've seen this before).
'rage' is an anagram of 'grea'.
'grea'+'tape'='GREAT APE'
(Other definitions for great ape that I've seen before include "chimpanzee, for example" , "Eg, gorilla, chimpanzee" , "Large primate" , "Close relative to humans" , "Wild animal" .)