Hesitate to accept current surrender (6)
I believe the answer is:
waiver
'surrender' is the definition.
(thesaurus)
'hesitate to accept current' is the wordplay.
'hesitate' becomes 'waver' (wavering is a kind of hesitating).
'to accept' indicates putting letters inside.
'current' becomes 'i' (symbol for electric current).
'waver' enclosing 'i' is 'WAIVER'.
(Other definitions for waiver that I've seen before include "Letting go right" , "surrender" , "Statement giving up a claim" , "Formal for going of legal right or claim" , "withdrawal of claim" .)