Not entirely Draconian cut (5)
I believe the answer is:
sever
'cut' is the definition.
(severing is a kind of cutting)
'not entirely draconian' is the wordplay.
'not entirely' means to remove the last letter.
'draconian' becomes 'severe' (I've seen this before).
'severe' with its final letter removed is 'SEVER'.
(Other definitions for sever that I've seen before include "Cut off, separate" , "Cleave" , "Disconnect" , "Put an end to (connection or relationship)" , "Cut right off" .)