Spouse no longer covered bust, one admitted (8)
I believe the answer is:
divorcee
'spouse no longer' is the definition.
(former spouse)
'covered bust one admitted' is the wordplay.
'bust' is an anagram indicator.
'one' becomes 'i' (Roman numeral).
'admitted' means one lot of letters goes inside another (inserted letters get admitted).
'covered' with letters rearranged gives 'dvorcee'.
'dvorcee' placed around 'i' is 'DIVORCEE'.
(Other definitions for divorcee that I've seen before include "person no longer in union" , "One's broken up" , "Legally separated woman" , "One's marriage has been dissolved" , "One from split marriage" .)