Old hunting cry that's heard in part of central London (4)
I believe the answer is:
soho
I believe this clue is a triple definition!
'old hunting cry that's heard' is the first definition.
(cry historically used when hunting)
'in' acts as a link.
'part' is the second definition.
(I have seen 'part of London' mean 'soho' so perhaps 'part' could also mean 'soho')
'of' acts as a link.
'central london' is the third definition.
(area of London)
(Other definitions for soho that I've seen before include "Call a large market for software" , "Exotic London district popular with tourists" , "London's former Bohemia" , "Central London night life district" , "Entertainment district in London's West End" .)