Crossword Genius

Daily affair putting husband in a race (5,5)

Ross

I believe the answer is:

paper chase

I'm a little stuck... Click here to teach me more about this clue!

'a race' is the definition.
Although both the answer and definition are singular nouns, I can't understand how they can define each other.

'daily affair putting husband' is the wordplay.
I cannot quite understand how this works, but
'daily' could be 'paper' (newspaper) and 'paper' is found within the answer.
'husband' could be 'h' (abbreviation) and 'h' is found within the answer.
'affair' could be 'case' and 'case' is found within the leftover letters.
No letters remain.
This may be the basis of the clue (or it may be nonsense).

'in' acts as a link.

Can you help me to learn more?

(Other definitions for paper chase that I've seen before include "Type of cross-country race" , "cross country run" , "Trail-following cross-country race" , "Cross-country race following trail" .)

I've seen this clue in The Daily Express.
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