In February 2020, Google released Chrome 80 and began rolling out new cookie behaviour. Details of this change and Google's rollout plans are available at https://www.chromium.org/updates/same-site.
This change requires cross-site cookies to explicitly declare themselves with the SameSite attribute. Cookies that do not do this will result in a Chrome warning in the developer console and will be ignored (not sent with any applicable requests).
All Stripe products (i.e. Elements, Checkout etc.) which use cookies that are accessible across sites have been updated and will function in the same way as before the Chrome 80 release.
However, there may still be some stripe.com cookies set by the Stripe Dashboard, Support site or home page that will trigger the Chrome warning on other sites that include the Stripe.js library. We will keep working to reduce or even eliminate these cookies, but any remaining instances will not affect any functionality in Stripe products. Instead, they will only result in a benign warning in the developer console.