The woman repeatedly left bill for coat (7)
I believe the answer is:
shellac
'coat' is the definition.
(I've seen this before)
'the woman repeatedly left bill' is the wordplay.
'the woman' becomes 'she' (I've seen this before**).
'repeatedly' shows that letters should be duplicated.
'left' becomes 'l' (common abbreviation).
'bill' becomes 'ac'.
'l' duplicated is 'll'.
'she'+'ll'+'ac'='SHELLAC'
'for' is the link.
(Other definitions for shellac that I've seen before include "Varnish derived from insect secretion" , "old record" , "Sort of resin" , "coat" , "Varnish ingredient" .)