Monkey lives around borders of Kenya, to the west (4)
I believe the answer is:
saki
'monkey' is the definition.
(saki is a kind of monkey)
'lives around borders of kenya to the west' is the wordplay.
'lives' becomes 'is' ('be' can be a synonym of 'live').
'around' means one lot of letters goes inside another.
'borders of' suggests removing the centre.
'to the west' says the letters should be written in reverse.
'kenya' with its centre taken out is 'ka'.
'is' going around 'ka' is 'ikas'.
'ikas' written backwards gives 'SAKI'.
(Other definitions for saki that I've seen before include "drink in Tokyo" , "Short-story writer" , "Scottish writer" , "author chosen by 29" , "Literary pseudonym of H. H. Munro" .)