Admit latest peccadillo's over to some extent (6)
I believe the answer is:
accept
'admit' is the definition.
(synonyms)
'latest peccadillo's over to some extent' is the wordplay.
'to some extent' indicates a hidden word.
'over' is a reversal indicator.
'tpecca' is hidden in the letters of 'latest peccadillos'.
'tpecca' back-to-front is 'ACCEPT'.
(Other definitions for accept that I've seen before include "Recieve something offered" , "Put up with" , "Take on; tolerate" , "Admit into a group" , "Say yes > to trust" .)