A noisy but honest business (6)
I believe the answer is:
affair
'business' is the definition.
(thesaurus)
'a noisy but honest' is the wordplay.
'noisy' becomes 'f'.
'but honest' becomes 'fair' ('fair' can be similar in meaning to 'honest'. I am not sure about the 'but' bit.**).
'a'+'f'+'fair'='AFFAIR'
Can you help me to learn more?
(Other definitions for affair that I've seen before include "Concern -- extramarital relationship" , "Concern, matter or illicit romance" , "Social event or sexual relationship" , "Romantic relationship between two unmarried people" , "Former Belgian coin" .)