Born round disreputable area of London (7)
I believe the answer is:
borough
'area of london' is the definition.
'borough' can be an answer for 'area' (a borough is an area of a city). I'm not certain of the 'of london' bit.
'born round disreputable' is the wordplay.
'born' becomes 'b' (abbreviation next to the year of someone's birth).
'round' becomes 'o' (o is a circular letter).
'disreputable' becomes 'rough' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'b'+'o'+'rough'='BOROUGH'
Can you help me to learn more?
(Other definitions for borough that I've seen before include "Local district" , "London district" , "Administrative area" , "Local government division" , "Administrative unit in a city, Dun Laoghaire in Dublin, say" .)