Husband makes public petition for cosmetic solution (9)
I believe the answer is:
hairspray
'cosmetic solution' is the definition.
'hairspray' can be an answer for 'solution' (I have seen 'fine solution' mean 'hairspray' so perhaps 'solution' could also mean 'hairspray'). I'm not certain of the 'cosmetic' bit.
'husband makes public petition' is the wordplay.
'husband' becomes 'h' (abbreviation).
'makes public' becomes 'airs' (air can mean to broadcast or make public).
'petition' becomes 'pray' (I've seen this before).
'h'+'airs'+'pray'='HAIRSPRAY'
'for' acts as a link.
Can you help me to learn more?
(Other definitions for hairspray that I've seen before include "fine solution" , "pressurised stuff?" , "Barnet manager" , "setter" .)