Crossword Genius

Where one might conceal a cough a little late (10)

Ross

I believe the answer is:

behindhand

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'late' is the definition.
(I've seen this before)

'where one might conceal a cough a little' is the wordplay.
I cannot really understand how this works, but
'one' could be 'an' (an apple is one apple) and 'an' is found in the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for behindhand that I've seen before include "From which one might snigger" , "Late - in arrears" , "not keeping up with schedule" , "Late or slow in doing something" , "in debt" .)

I've seen this clue in The Times.
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