Garment the French have suspicion about? (7)
I believe the answer is:
doublet
'garment' is the definition.
(doublet is a kind of garment)
'the french have suspicion about?' is the wordplay.
'the french have' becomes 'le' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'suspicion' becomes 'doubt' (I've seen this before).
'about?' means one lot of letters goes inside another.
'le' placed within 'doubt' is 'DOUBLET'.
Can you help me to learn more?
(Other definitions for doublet that I've seen before include "Old garment worn with hose" , "Formerly, a man's close-fitting jacket" , "Historical jacket" , "Pair of similar things" , "Short jacket" .)