Cut out central section of rough drawings (4)
I believe the answer is:
etch
'cut out' is the definition.
(to etch is to cut into)
'central section of rough drawings' is the wordplay.
'central section of' indicates the central letters.
'rough drawings' becomes 'sketches'.
The middle letters of 'sketches' are 'ETCH'.
(Other definitions for etch that I've seen before include "Carve into surface, impress deeply" , "Make deep lines" , "Cut; engrave" , "Use acid to design on metal or glass" , "Delineate" .)