Talk proudly about bachelor on tabloid (4)
I believe the answer is:
brag
'talk proudly' is the definition.
'brag' can be an answer for 'talk' (I have seen 'Idle talk' mean 'brag' so perhaps 'talk' could also mean 'brag'). I am not sure about the 'proudly' bit.
'bachelor on tabloid' is the wordplay.
'bachelor' becomes 'b' (abbreviation e.g. BA=Bachelor of Arts).
'on' means one lot of letters go next to another.
'tabloid' becomes 'rag' (informal term for a tabloid newspaper).
'b'+'rag'='BRAG'
'about' acts as a link.
Can you help me to learn more?
(Other definitions for brag that I've seen before include "Card game - boast" , "Shoot a line" , "Boast, crow" , "Show off, crow" , "game of bluff" .)