Woman to try work that's dishonest (5)
I believe the answer is:
dirty
'dishonest' is the definition.
(thesaurus)
'woman to try work' is the wordplay.
'woman' becomes 'Di' (short for Diana).
'to' is a charade indicator (letters next to each other).
'work' indicates anagramming the letters.
'try' anagrammed gives 'rty'.
'di'+'rty'='DIRTY'
'that's' is the link.
(Other definitions for dirty that I've seen before include "Muddy" , "producing a lot of fallout" , "A couple of days coupling?" , "1971 film with Clint Eastwood" , "Mucky" .)