Get rid of ice, dear, formed at the inside (9)
I believe the answer is:
eradicate
'get rid of' is the definition.
(thesaurus)
'ice dear formed at the inside' is the wordplay.
'formed' indicates anagramming the letters.
'the inside' indicates putting letters inside.
'ice'+'dear'='icedear'
'icedear' with letters rearranged gives 'eradice'.
'eradice' enclosing 'at' is 'ERADICATE'.
(Other definitions for eradicate that I've seen before include "Exterminate, extinguish" , "Get rid of, remove all traces" , "Get rid of, eliminate entirely" , "Completely remove" , "Root out" .)