Indiscreet embrace involving the French (8)
I believe the answer is:
careless
'indiscreet' is the definition.
(thesaurus)
'embrace involving the french' is the wordplay.
'embrace' becomes 'caress' (I've seen this before).
'involving' indicates putting letters inside.
'the french' becomes 'le' ('the' in French).
'caress' enclosing 'le' is 'CARELESS'.
(Other definitions for careless that I've seen before include "Negligent - nonchalant" , "Lax" , "Inconsiderate" , "Incautious" , "Inattentive to one's work" .)