Biased article in Paris — flinch when one’s put out (7)
I believe the answer is:
unequal
'biased article in paris flinch' is the definition.
'unequal' can be an answer for 'biased' (I've seen this before). I'm not sure about the 'article in paris flinch' bit.
'one's put out' is the wordplay.
'one' becomes 'un' (northern English dialect form of 'one').
'put out' becomes 'equal' (I can't explain this - if you can you should give a lot more credence to this answer).
'un'+'equal'='UNEQUAL'
'when' is the link.
Can you help me to learn more?
(Other definitions for unequal that I've seen before include "Not uniform" , "Not well matched or even" , "at different levels" , "Not identical" , "Odd" .)