Find fault with lime, having peeled fruit (7)
I believe the answer is:
impeach
'find fault with lime' is the definition.
I can't judge whether this defines the answer.
'peeled fruit' is the wordplay.
'peeled' becomes 'im' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'fruit' becomes 'peach' (peach is a kind of fruit).
'im'+'peach'='IMPEACH'
'having' is the link.
Can you help me to learn more?
(Other definitions for impeach that I've seen before include "Accuse of serious crime against the state, say treason" , "Level a charge against -- pace him (anag)" , "Charge public official with misconduct - Clinton?" , "call into question" , "In America, charge with misconduct - say President" .)