Connery's identical, to a smaller extent brazen (9)
I believe the answer is:
shameless
'brazen' is the definition.
(I've seen this before)
'connery's identical to a smaller extent' is the wordplay.
'connery's identical' becomes 'shame' (I am not sure about this - if you are sure you should believe this answer much more).
'to a smaller extent' becomes 'less' (to a lesser extent).
'shame'+'less'='SHAMELESS'
Can you help me to learn more?
(Other definitions for shameless that I've seen before include "Immodest; brazen" , "Brazenly showing no regret" , "Barefaced, unabashed" , "Quite brazen" .)