In shameful style in a bachelor's place (6)

I believe the answer is:

basely

I'm a little stuck... Click here to teach me more about this clue!

'in shameful style in' is the definition.
Both the answer and definition are adverbs. Maybe they are linked in a way I don't understand?

'a bachelor's place' is the wordplay.
'a bachelor's' becomes 'bas' (the qualification: Bachelor of Arts).
'place' becomes 'ely' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'bas'+'ely'='BASELY'

Can you help me to learn more?

I've seen this clue in the Evening Standard.

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