Concerns about the French jackets (8)

I believe the answer is:

doublets

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'jackets' is the definition.
(doublet is a kind of jacket)

'concerns about the french' is the wordplay.
'concerns' becomes 'doubts' (I am not sure about this - if you are sure you should believe this answer much more).
'about' indicates putting letters inside.
'the french' becomes 'le' ('the' in French).
'doubts' enclosing 'le' is 'DOUBLETS'.

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I've seen this clue in The Guardian.

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