Woman recalling endless requirement with tale (6)
I believe the answer is:
eileen
'woman' is the definition.
(I've seen this before)
'recalling endless requirement with tale' is the wordplay.
'recalling' shows that the letters should be reversed in order.
'endless' means to remove the last letter.
'requirement' becomes 'need' ('need' can be a synonym of 'requirement').
'with' is a charade indicator (letters next to each other).
'tale' becomes 'lie'.
'need' with its last letter taken off is 'nee'.
'nee'+'lie'='neelie'
'neelie' written backwards gives 'EILEEN'.
(Other definitions for eileen that I've seen before include "F. name; nee Eli (anag.)" , "Girl" , "woman" , "Girl's name" , "Female name (not beginning with A)" .)