Drink, then sloshed before noon in London district (9)
I believe the answer is:
tottenham
'london district' is the definition.
(area of London)
'drink then sloshed before noon' is the wordplay.
'drink' becomes 'tot' (a small alcoholic drink).
'sloshed' indicates anagramming the letters.
'before noon' becomes 'AM' (as in AM on a clock).
'then' is an anagram of 'tenh'.
'tot'+'tenh'+'am'='TOTTENHAM'
'in' acts as a link.
(Other definitions for tottenham that I've seen before include "In London area" , "Capital area" , "-- Hotspur FC" .)