Big noise caught having the affair in Paris? (7)
I believe the answer is:
clamour
'big noise' is the definition.
(clamour can mean a loud noise)
'caught having the affair in paris?' is the wordplay.
'caught' becomes 'c' (cricket abbreviation).
'having' means one lot of letters go next to another.
'the affair in paris?' becomes 'l'amour' ('the affair' in French).
'c'+'lamour'='CLAMOUR'
(Other definitions for clamour that I've seen before include "Noisy disturbance" , "Loud and persistent outcry" , "Loud noise of shouting" , "Complaints" , "Hue and cry" .)