Takes off edges of enormous cloaks (7)
I believe the answer is:
escapes
'takes off' is the definition.
'edges of enormous cloaks' is the wordplay.
'edges of' means to remove the middle letters.
'cloaks' becomes 'capes' (cape is a kind of cloak).
'enormous' with its centre taken out is 'es'.
'es'+'capes'='ESCAPES'
(Other definitions for escapes that I've seen before include "Flights" , "Flees" , "Breaks loose" , "Gets free" , "breaks out,gets away" .)