Worry about featuring in paper (4)
I believe the answer is:
fret
'worry' is the definition.
(to fret about something is to worry)
'about featuring in paper' is the wordplay.
'about' becomes 're' ('re' means regarding or about).
'featuring in' indicates putting letters inside.
'paper' becomes 'FT' (newspaper the FT, Financial Times).
're' going into 'ft' is 'FRET'.
(Other definitions for fret that I've seen before include "Part of a Gibson, say" , "Rub - a bit of the guitar" , "Bar on fingerboard of guitar" , "Worry excessively" , "Chafe; worry" .)