Fruit endlessly given to posh smart brown ape (5-4)
I believe the answer is:
orang-utan
'posh smart brown ape' is the definition.
'orang utan' can be an answer for 'ape' (I've seen this before). I'm not certain of the 'posh smart brown' bit.
'fruit endlessly given to' is the wordplay.
'fruit' becomes 'orange' (orange is a kind of fruit).
'endlessly' means to remove the last letter.
'given to' becomes 'utan' (I can't justify this - if you can you should believe this answer much more).
'orange' with its final letter taken away is 'orang'.
'orang'+'utan'='ORANG-UTAN'
(Other definitions for orang-utan that I've seen before include "Anthropoid mammal of Indonesia" , "Endangered primate" , "Great ape" , "Angora nut for long-armed ape of Burma" , "Ape of Borneo and Sumatra" .)