Financial information on commerce sites

Hi all. I have a client who is obsessed with whether their Squarespace commerce site will somehow hold onto any of their customers financial information when they've placed an order. Their payments will be completed via Stripe. Support have told me "We will only capture the information that shows in the sites Orders panel."

Can anyone give me a bit more info on this please or a line of text that I can suggest my client includes in their terms and conditions to put his mind at rest?

TIA