Yes, there is a Discover – Amazon deal and their partnership has been ongoing, with several offers for a while now. The Discover it Cash Back, for instance, offers bonus rewards on everyday purchases at different places each quarter, including Amazon.com.
Here are Discover it's Amazon deals:
Buy merchandise with rewards: Offer applies to most Discover cards. You can use your Discover rewards to "Shop with Points" on Amazon.com. All you need to do is link your eligible Discover card to your Amazon account, select Discover as your payment method and apply your Discover rewards. $1 in Discover cash back or miles is equal to $1 at Amazon.
Get extra cash back: The Discover it Cash Back and the Discover it Student Cash Back offer bonus rewards up to a certain amount in spending categories that change each quarter (activation required). And the bonus categories for 2022 include Amazon.com. More specifically, you get 5% cash back on the first $1,500 that you spend at Amazon.com and Digital Wallets during Q4 2022, with 1% back on any further purchases. Note that Amazon is not always a part of this deal. It just happens to be featured for one quarter, and could be featured again. Just make sure you activate your spending categories before making any purchases. You can do this for the upcoming Amazon.com deal starting August 1st.
Finally, while Discover cards do provide some great Amazon opportunities, there's another way to maximize your savings. The Amazon.com Store Card offers a $10 Amazon gift card upon approval and 5% back on Amazon.com purchases for Prime members. Additionally, the Amazon.com Credit Card offers a $50 Amazon.com gift card upon approval ($100 for Prime members). And Prime members earn 5 points / $1 (equivalent to 5% cash back) on purchases made at Amazon.com and Whole Foods Market.