Caught by tabloid's bluff (4)
I believe the answer is:
crag
'bluff' is the definition.
(thesaurus)
'caught by tabloid's' is the wordplay.
'caught' becomes 'c' (cricket abbreviation).
'by' means one lot of letters go next to another.
'tabloid' becomes 'rag' ('rag' can be a synonym of 'tabloid').
'c'+'rag'='CRAG'
(Other definitions for crag that I've seen before include "Avant-garde" , "Rocky hilltop" , "Steep rugged rock or cliff" , "Steep rock, peak" , "Steep, overhanging rock" .)