Is anyone using Stripe's Checkout Button feature?

I’m using Stripe’s checkout button on one of my pages and it works fine, but I can’t seem to retrieve a user’s Subscription ID, Plan Name, etc… to save in my database. I don’t see where there’s an action available to retrieve this info once Stripe has redirected back to my page where the checkout button exist. In the Stripe dasboard, the customer is created as well as the subscription.

Any thoughts from anyone?