Essex vice? Possibly getting high (9)
I believe the answer is:
excessive
'high' is the definition.
(thesaurus)
'essex vice? possibly' is the wordplay.
'possibly' is an anagram indicator.
'essex'+'vice'='essexvice'
'essexvice' is an anagram of 'EXCESSIVE'.
'getting' acts as a link.
(Other definitions for excessive that I've seen before include "Beyond normal limits" , "Too much" , "Immoderate" , "More than is desirable" , "Over the top" .)