One quick question about Amazon affiliate program.

Just one quick question I can’t find the answer to.

If a person clicks on the affiliate link on website A, and after one hour the same person clicks on another affiliate link from website B, do both websites earn some money if that person buys something in the 24 hours period or just the person running website B?

I assume it will be done that way, your clicks doesn't counted, but that refferal link which traveled you count and sale after that. I would say if you buy on B then it is. If on both then on both I would say. You haven't provide full information at all.

For your question, yes.
If someone clicks a referral link from B, B will earn the commission.

In other words; last sender earns.

Website B would get the commission and website A gets nothing.