Border crime dismissive of borders (3)
I believe the answer is:
rim
'border' is the definition.
(I've seen this before)
'crime dismissive of borders' is the wordplay.
'dismissive of borders' indicates the central letters (the word's 'borders' are removed).
The middle of 'crime' is 'RIM'.
(Other definitions for rim that I've seen before include "Circular outer edge" , "Edge or margin" , "Flange" , "'Brim, lip (3)'" , "Brim, edge" .)