Dimpled skin left on primate with sword (6,4)
I believe the answer is:
orange peel
'dimpled skin' is the definition.
(skin of an orange)
'left on primate with sword' is the wordplay.
'left' becomes 'L' (common abbreviation).
'on' is a charade indicator (letters next to each other).
'primate with' becomes 'orang' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'sword' becomes 'epee' (sword used in fencing).
'orang'+'epee'='orangepee'
'l' put after 'orangepee' is 'ORANGE-PEEL'.
(Other definitions for orange peel that I've seen before include "Bit of fruit" , "Pithy stuff" , "Rind often candied" .)