Binge drink around centre of London (6)
I believe the answer is:
bender
'binge' is the definition.
(synonyms)
'drink around centre of london' is the wordplay.
'drink' becomes 'beer' (beer is a kind of drink).
'around' means one lot of letters goes inside another.
'centre of' says to take the centre.
The middle letters of 'london' are 'nd'.
'beer' going around 'nd' is 'BENDER'.
(Other definitions for bender that I've seen before include "Wild drinking spree" , "Drinking jag" , "Binge on drinks" , "Booze-up" , "makeshift shelter" .)