That woman in good family that's often pickled (7)
I believe the answer is:
gherkin
'often pickled' is the definition.
(I've seen this before)
'that woman in good family' is the wordplay.
'that woman' becomes 'her' (I've seen this before**).
'in' is an insertion indicator.
'good' becomes 'g' (abbreviation).
'family' becomes 'kin' ('kin' can be a synonym of 'family').
'g'+'kin'='gkin'
'her' put inside 'gkin' is 'GHERKIN'.
'that's' acts as a link.
(Other definitions for gherkin that I've seen before include "Vegetable of the cucumber family" , "Type of small cucumber" , "Harmony" , "Pickled item" , "often pickled" .)