When someone is caught cheating, their account is closed and they are blocked from creating new accounts.
If someone's account is closed for cheating, it means they were found engaging in activities listed under Not Allowed in this article: What counts as cheating on Chess.com?
If you lost to someone caught cheating, you'll receive an email notification from Chess.com like this one:
You can also identify if someone has been closed for cheating by the 
icon next to their name in your game archives. Hover over the icon to see the reason for their closure.
We will refund rating points if you lose a game against an account closed for cheating. However, we are unable to alter game or tournament outcomes.
If you haven't received a rating refund within 15 days of your account closure, please reach out to us.
How to Report Suspected Cheating
If you suspect someone you played against was cheating, please report them! Avoid public accusations; instead, report them to us, and we'll take care of the rest!
Check out this article to learn how to report a member: How do I report someone?