Wrap wound in black and get on (7)

I believe the answer is:

bandage

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'wrap wound' is the definition.
'bandage' can be an answer for 'wrap' (thesaurus). I am unsure of the 'wound' bit.

'black and get on' is the wordplay.
'black' becomes 'b' (as in pencil classifications).
'get on' becomes 'age' (synonyms).
'b'+'and'+'age'='BANDAGE'

'in' acts as a link.

Can you help me to learn more?

(Other definitions for bandage that I've seen before include "Wrapping for wound" , "Wrap for a wound" , "Dress" , "Bind (a wound)" , "First-aid item" .)

I've seen this clue in The Sun.

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