Vulgar boy having grown up as bully? (8)

I believe the answer is:

flashman

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'bully?' is the definition.
(I've seen this before)

'vulgar boy' is the wordplay.
'vulgar' becomes 'flash' (synonyms).
'boy' becomes 'man' ().
'flash'+'man'='FLASHMAN'

'having grown up as' is the link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for flashman that I've seen before include "Bad guy from Tom Brown's schooldays" , "Bully" .)

I've seen this clue in The Telegraph.

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