Worry about cutting paper (4)
I believe the answer is:
fret
'worry' is the definition.
(to fret about something is to worry)
'about cutting paper' is the wordplay.
'about' becomes 're' ('re' means regarding or about).
'cutting' indicates putting letters inside (some letters cut their way into a word).
'paper' becomes 'ft' (Financial Times newspaper).
're' placed inside 'ft' is 'FRET'.
(Other definitions for fret that I've seen before include "Fog" , "Split up" , "Worry; sort of saw" , "Vex oneself - part of a fingerboard" , "Show anxiety" .)