Crossword Genius

Bachelor eats with son running round? Such vulgarity! (9)

Ross

I believe the answer is:

bawdiness

'vulgarity' is the definition.
(behaving bawdily or vulgarly)

'bachelor eats with son running round?' is the wordplay.
'bachelor' becomes 'BA' (the qualification: Bachelor of Arts).
'eats' becomes 'dines' (dining is a kind of eating).
'with' becomes 'w' (abbreviation).
'son' becomes 's' (genealogical abbreviation for son).
'running round?' is an insertion indicator.
'w'+'s'='ws'
'dines' put within 'ws' is 'wdiness'.
'ba'+'wdiness'='BAWDINESS'

'such' is the link.

I've seen this clue in The Guardian.
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