Conservative listing dodgy deal is in the dailies (8,6)
I believe the answer is:
cleaning ladies
'the dailies' is the definition.
Although both the answer and definition are plural nouns, I can't see how one could define the other.
'conservative listing dodgy deal is' is the wordplay.
'conservative listing' becomes 'cleaning' (I can't explain this - if you can you should believe this answer much more).
'dodgy' indicates an anagram (a dodgy or wrong order of the letters).
'deal'+'is'='dealis'
'dealis' is an anagram of 'ladies'.
'cleaning'+'ladies'='CLEANING LADIES'
'in' acts as a link.
Can you help me to learn more?
(Another definition for cleaning ladies that I've seen is " domestics".)