Bragged about newspaper (3)
I believe the answer is:
rag
'newspaper' is the definition.
(informal term for a newspaper)
'bragged about' is the wordplay.
'about' indicates the answer is hidden within the clue (the clue goes around or about the answer).
'RAG' can be found hidden inside 'bragged'.
(Other definitions for rag that I've seen before include "Piece of cloth and student fun" , "Fun week for college students" , "Practical joke" , "Piece of old cloth" , "Cloth for wiping" .)