Go over cover, running one single again (8)

I believe the answer is:

divorcee

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'one single again' is the definition.
I can't tell whether this definition defines the answer.

'go over cover running' is the wordplay.
'go' becomes 'die' (synonyms).
'over' indicates putting letters inside.
'running' indicates an anagram.
'cover' anagrammed gives 'vorce'.
'die' enclosing 'vorce' is 'DIVORCEE'.

Can you help me to learn more?

(Other definitions for divorcee that I've seen before include "Legally separated woman" , "person no longer in union" , "One from split marriage" , "old union member" , "Legally separated person" .)

I've seen this clue in The Hindu.

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