The woman with diamonds to take off (4)
I believe the answer is:
shed
'take off' is the definition.
(thesaurus)
'the woman with diamonds' is the wordplay.
'the woman' becomes 'she' (I've seen this before**).
'with' says to put letters next to each other.
'diamonds' becomes 'd' (abbreviation in bridge say).
'she'+'d'='SHED'
'to' is the link.
(Other definitions for shed that I've seen before include "Slough - outbuilding" , "Get rid of - outbuilding" , "tools here, maybe?" , "Lose as trees do leaves" , "warehouse" .)