Newspaper extract is hurtful (7)
I believe the answer is:
cutting
This clue is a double definition.
'newspaper extract' is the first definition.
(I've seen this before)
'hurtful' is the second definition.
(I've seen this before)
'is' is the link.
(Other definitions for cutting that I've seen before include "Incisive" , "Barbed" , "crossing" , "Keen" , "Sharp (remark); piece kept from paper" .)