Eg, London society — not so English (4)

I believe the answer is:

city

I'm a little stuck... Click here to teach me more about this clue!

'eg london' is the definition.
(london is a kind of city)

'society not so english' is the wordplay.
'society' becomes 'soc' (abbreviation in the names of organisations).
'not' is a deletion indicator.
'english' becomes 'ity' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'soc' with 'so' removed is 'c'.
'c'+'ity'='CITY'

Can you help me to learn more?

(Other definitions for city that I've seen before include "See 5" , "- of God (St Augustine)" , "See 10" , "See 9" , "Charlotte, for instance" .)

I've seen this clue in The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.