Roughly cutting round border (4)
I believe the answer is:
abut
'roughly cutting round border' is the definition.
'abut' can be an answer for 'border' (thesaurus). I'm not certain of the 'roughly cutting round' bit.
'round border' is the wordplay.
'round' becomes 'about' (I've seen this before).
'border' suggests removing the centre (I've seen 'borders of' mean this).
'about' with its middle removed is 'ABUT'.
(Other definitions for abut that I've seen before include "Adjoin at one end" , "Adjoin, press up against" , "Lie adjacent to" , "Touch upon" , "Touch, lean on" .)