Nothing weeded out from around border (4)
I believe the answer is:
abut
'border' is the definition.
(synonyms)
'nothing weeded out from around' is the wordplay.
'nothing' becomes 'o' (looks like zero - 0).
'weeded out from' is a deletion indicator.
'around' becomes 'about' (synonyms).
'about' with 'o' taken out is 'ABUT'.
(Other definitions for abut that I've seen before include "Meet" , "Touch (side of next building)" , "Lie next to" , "Tuba (anag)" , "Adjoin, border" .)