Part of central London (4)
I believe the answer is:
soho
'part of central london' is the definition.
(Soho is an area of central London)
This is the entire clue.
(Other definitions for soho that I've seen before include "fashionable neighbourhood (or neighborhood)" , "Nightclub area in London" , "Central London night life district" , "Parts of London and New York City with the same name" , "Central London entertainment area" .)