Women ignoring a duke's fibs (4)
I believe the answer is:
lies
'fibs' is the definition.
(informal term for lies)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for lies that I've seen before include "Reclines" , "golfing situations" , "Falsehoods and prevarications" , "pork pies" , "Assumes a horizontal position" .)