Cut off and also tie off (7)
I believe the answer is:
isolate
'cut off' is the definition.
(thesaurus)
'also tie off' is the wordplay.
'off' indicates an anagram.
'also'+'tie'='alsotie'
'alsotie' anagrammed gives 'ISOLATE'.
'and' acts as a link.
(Other definitions for isolate that I've seen before include "Ostracise" , "Pick out" , "Maroon" , "Seclude" , "Segregate. close off" .)