Problem urgently keeping primate (5)
I believe the answer is:
lemur
'primate' is the definition.
(I've seen this before)
'problem urgently keeping' is the wordplay.
'keeping' indicates a hidden word.
'LEMUR' is hidden within 'problem urgently'.
(Other definitions for lemur that I've seen before include "Monkey-like animal of Madagascar" , "Tree-dwelling primate" , "one in the bush?" , "Monkey-like creature of Madagascar" , "Arboreal mammal common to Madagascar" .)