Monkey or burrowing animal going round Kent area (8)
I believe the answer is:
marmoset
'monkey' is the definition.
(marmoset is a kind of monkey)
'burrowing animal going round kent area' is the wordplay.
'burrowing animal' becomes 'marmot' (I've seen this before).
'going round' means one lot of letters goes inside another.
'kent area' becomes 'se'.
'marmot' going around 'se' is 'MARMOSET'.
'or' is the link.
(Other definitions for marmoset that I've seen before include "Arms me to (anag) - animal" , "Small tropical American monkey" , "Somme rat? (anag)" , "Take me to arms about bushy-tailed monkey of tropical America" , "rather small creature" .)