Person finishes jackets (7)

I believe the answer is:

bodices

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

'jackets' is the definition.
The definition and answer can be both man-made objects as well as being plural nouns.
Perhaps you can see an association between them that I can't see?

'person finishes' is the wordplay.
'person' becomes 'bod' (bod can informally mean a person or body).
'finishes' becomes 'ices' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'bod'+'ices'='BODICES'

Can you help me to learn more?

I've seen this clue in the Sydney Morning Herald.

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