Prudence has the ability to see into the picture (9)
I believe the answer is:
foresight
'the picture' is the definition.
(thesaurus)
'prudence has the ability to see' is the wordplay.
'prudence has' becomes 'fore' (I can't justify this - if you can you should give a lot more credence to this answer).
'the ability to see' becomes 'sight' (I've seen this in another clue).
'fore'+'sight'='FORESIGHT'
'into' acts as a link.
Can you help me to learn more?
(Other definitions for foresight that I've seen before include "Anticipation" , "Caution" , "Prescience" , "Vision" , "Clairvoyance" .)