Woman regularly soused (3)
I believe the answer is:
sue
'woman' is the definition.
(woman's name)
'regularly soused' is the wordplay.
'regularly' indicates alternate letters (regularly take one letter, leave next etc.).
The alternate letters of 'soused' are 'SUE'.
(Other definitions for sue that I've seen before include "Prosecute; girl's name" , "- - Barker, 19 star" , "Take court action" , "Bring charges against - girl" , "Proceed legally against (someone)" .)