Prudence has the ability to see into the picture (9)
I believe the answer is:
foresight
'picture' is the definition.
(thesaurus)
'prudence has the ability' is the wordplay.
'prudence has' becomes 'fore' (I am not sure about this - if you are sure you should believe this answer much more).
'the ability' becomes 'sight' (sight is a kind of ability).
'fore'+'sight'='FORESIGHT'
'to see into the' acts as a link.
This may not be correct. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for foresight that I've seen before include "Anticipation" , "Caution" , "Prescience" , "Vision" , "Clairvoyance" .)