China has a problem with depravity (3,7)
I believe the answer is:
tea service
'china' is the definition.
(I've seen this before)
'a problem with depravity' is the wordplay.
'a problem' becomes 'teaser' (I've seen this before).
'with' says to put letters next to each other.
'depravity' becomes 'vice' (moral depravity).
'teaser'+'vice'='TEA-SERVICE'
'has' is the link.
(Other definitions for tea service that I've seen before include "that may be brought to the table" , "Cups, saucers, plates, etc" , "China pieces" , "China possibly" , "crockery" .)