Divine wife does run round (5)
I believe the answer is:
dowse
'divine' is the definition.
(I know that dowse is a more specific form of the action divine)
'wife does run round' is the wordplay.
'wife' becomes 'w' (abbreviation).
'run round' indicates an anagram (I've seen 'running round' mean this).
'w'+'does'='wdoes'
'wdoes' with letters rearranged gives 'DOWSE'.
(Other definitions for dowse that I've seen before include "Search for water using hazel rod" , "Divine for water" , "twitch" , "Search for underground water using rod" , "Look for water with a divining rod" .)