Drone about British beef, endlessly (3)
I believe the answer is:
bee
'drone' is the definition.
(thesaurus)
'british beef endlessly' is the wordplay.
'british' becomes 'b' (abbreviation e.g. in 'BBC').
'endlessly' says to take the centre (the ends of the words are removed).
The central letters of 'beef' are 'ee'.
'b'+'ee'='BEE'
'about' is the link.
(Other definitions for bee that I've seen before include "See 17" , "Hymenopterous insect" , "Honey maker" , "Busy person" , "Insect, may be in bonnet" .)