The most common and most likely answer to this crossword clue is the 9 letter word RAINCHECK
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More clues leading to the result RAINCHECK
Buddy explains!

The straight part
We know that "Coupon for American" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case coupon for american = raincheck.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does RAINCHECK mean?
RAINCHECK noun- Any voucher or note from a merchant to a customer to provide an item the merchant has run out of at a later date for the item's current price, or (in a more literal sense) to provide a service at a later date.
- In social interactions, a polite way to turn down an invitation, with the implication one is simply postponing it and that another time would be acceptable.