Bishop beginning to oversee violent part of London? (7)

I believe the answer is:
borough
'london?' is the definition.
The definition and answer can be both locations as well as being singular nouns.
Perhaps they are linked in a way I don't understand?
'bishop beginning to oversee violent' is the wordplay.
'bishop' becomes 'B' (abbreviation for bishop in chess).
'beginning to' says to take the initial letters.
'violent' becomes 'rough' (I've seen this in another clue).
The first letter of 'oversee' is 'o'.
'b'+'o'+'rough'='BOROUGH'
'part of' is the link.
Can you help me to learn more?
(Other definitions for borough that I've seen before include "Administrative division of a large city" , "Important town" , "Administrative division of London" , "6D 5A [TUBE STATION]" , "Administrative unit in a city, Dun Laoghaire in Dublin, say" .)
