The French Silver family members inside are disclosing secrets (7)
I believe the answer is:
leaking
'disclosing secrets' is the definition.
'leaking' can be an answer for 'disclosing' (leaking is a kind of disclosing). I am not certain of the 'secrets' bit.
'the french silver family members inside' is the wordplay.
'the french' becomes 'le' ('the' in French).
'silver' becomes 'Ag' (Ag is the chemical symbol for silver).
'family members' becomes 'kin' (kin means one's relations).
'inside' is an insertion indicator.
'ag' enclosing 'kin' is 'aking'.
'le'+'aking'='LEAKING'
'are' acts as a link.
Can you help me to learn more?
(Other definitions for leaking that I've seen before include "Divulging secret information" , "Revealing secret" , "losing moisture" , "Seeping out" .)