Prima donna, to keep popular, moved into clairvoyance (10)
I believe the answer is:
divination
'clairvoyance' is the definition.
(thesaurus)
'prima donna to keep popular moved into' is the wordplay.
'prima donna' becomes 'diva' (synonyms).
'to keep' is an insertion indicator.
'popular' becomes 'in' ('in' can mean trendy).
'moved' indicates anagramming the letters.
'diva' enclosing 'in' is 'divina'.
'into' with letters rearranged gives 'tion'.
'divina'+'tion'='DIVINATION'
(Other definitions for divination that I've seen before include "method of forecasting" , "technique for looking into the future" .)