None phoned the primate (5)
I believe the answer is:
orang
'the primate' is the definition.
(orang is a kind of primate)
'none phoned' is the wordplay.
'none' becomes 'o'.
'phoned' becomes 'rang' ('ring' can be a synonym of 'phone').
'o'+'rang'='ORANG'
(Other definitions for orang that I've seen before include "Wild animal briefly appeared" , "Short tree-dweller" , "Large ape" , "Forest-dweller with red hair" , "Primate" .)