Against the odds, floor fits in attic (4)

I believe the answer is:

loft

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'attic' is the definition.
(I know that attic can be written as loft)

I don't understand the remainder of the clue.

(Other definitions for loft that I've seen before include "Roof space area" , "Throw up; pigeon house" , "Open space at the top of a building" , "Hit (a ball) high" , "Room At The Top" .)

I've seen this clue in The Irish Times.

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