Running hot and cold, divine liquid covers ices, melting (10)
I believe the answer is:
indecisive
'running hot and cold' is the definition.
'divine liquid covers ices melting' is the wordplay.
'liquid' indicates an anagram.
'covers' indicates putting letters inside.
'melting' indicates anagramming the letters.
'divine' with letters rearranged gives 'indive'.
'ices' anagrammed gives 'ecis'.
'indive' enclosing 'ecis' is 'INDECISIVE'.
(Other definitions for indecisive that I've seen before include "Dithery" , "Vacillating" , "on the fence" , "Not settling an issue" .)