Outhouse quietly removed from scene of battle (4-2)

I believe the answer is:

lean-to

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'outhouse' is the definition.
(thesaurus)

I can't explain the rest of the clue.

(Other definitions for lean-to that I've seen before include "Attached outbuilding" , "Simple building" , "Structure whose roof has only one slope" , "Small building attached to larger one" , "On late (anag)" .)

I've seen this clue in The Times.

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