One minds young graduate being next to model (4-6)

I believe the answer is:

baby-sitter

'one minds young' is the definition.
(baby-sitters look after children)

'graduate being next to model' is the wordplay.
'graduate' becomes 'BA' (someone with a Bachelor of Arts degree).
'being next to' becomes 'by'.
'model' becomes 'sitter' (I've seen this before).
'ba'+'by'+'sitter'='BABY-SITTER'

I've seen this clue in The Times.

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