A little, but odds are, you won’t pay a dime, even if a thief spends thousands of dollars with your credit card. The Fair Credit Billing Act limits your liability for unauthorized use of your credit card to $50 – but the four major credit card networks (Visa, Mastercard, Discover and American Express) offer $0 liability if you have your credit cards stolen.
That’s one argument for using credit cards over debit cards. If you miss the fact that your debit card was stolen and don’t report it stolen for two or more business days,  you could be liable up to $500. If somehow two months goes by, and then you realize you had money stolen from you via your debit card, you may be liable for all of your losses.
So the odds are pretty good that you will not be paying anything if your credit cards are stolen. That said, you do want to act fast if they are. You don’t want shady people doing who knows what with your credit card – and if they have other personal information of yours, like your Social Security number, your problems are just starting, and stolen credit cards are, in a way, the least of your problems.