Cricketer on the drink in London district (9)
I believe the answer is:
battersea
'london district' is the definition.
(I've seen this before)
'cricketer on the drink' is the wordplay.
'cricketer' becomes 'batter' (someone batting).
'on' says to put letters next to each other (in a down clue, letters appear on others).
'the drink' becomes 'sea' (old nickname for the sea).
'batter'+'sea'='BATTERSEA'
'in' is the link.
(Other definitions for battersea that I've seen before include "Area of SW London" , "London park" , "Site of well-known dogs' home" , "where dogs' home is located" , "where one may go to the dogs" .)