London district, accordingly, little house (4)
I believe the answer is:
soho
'london district' is the definition.
(area of London)
'accordingly little house' is the wordplay.
'accordingly' becomes 'so' (both can mean 'therefore', or 'as a result').
'little house' becomes 'ho' (abbreviation for house. I am not sure about the 'little' bit.).
'so'+'ho'='SOHO'
Can you help me to learn more?
(Other definitions for soho that I've seen before include "Call a large market for software" , "W London area" , "Parts of London and New York City with the same name" , "Colourful show-biz area of West End London" , "Once notorious part of central London" .)