Prosperous having ripped old towel (4-2-2)
I believe the answer is:
well-to-do
'prosperous' is the definition.
(synonyms)
'ripped old towel' is the wordplay.
'ripped' indicates an anagram (letters ripped or torn up).
'old'+'towel'='oldtowel'
'oldtowel' anagrammed gives 'WELL-TO-DO'.
'having' is the link.
(Other definitions for well-to-do that I've seen before include "Affluent" , "Quite wealthy" , "Financially comfortable" , "Moderately wealthy" , "Fairly wealthy" .)