Basked in a French club, having cast off clothing (9)

I believe the answer is:

sunbathed

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'basked' is the definition.
Although both the answer and definition are past participle verbs, I cannot see how one could define the other.

'a french club having cast off clothing' is the wordplay.
'a french' becomes 'un' ('a' in French).
'club' becomes 'bat' (as in sporting equipment).
'having' says to put letters next to each other.
'cast off' becomes 'shed' (synonyms).
'clothing' is an insertion indicator (some letters cover up or clothe others).
'un'+'bat'='unbat'
'unbat' put inside 'shed' is 'SUNBATHED'.

'in' acts as a link.

Can you help me to learn more?

I've seen this clue in The Independent.

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