That is the nice thing about using CCs.
My debit card got hit some months back. A bunch of random online purchases, starting with ones that were a few cents, assuming this is how the crooks know if it's go time or not.
They pulled my checking account into a negative and since I have overdraft protection through my bank, they started pulling out of my savings account. Thousands of dollars total. Scared the living heck out of me. I get notifications, but it happened in the middle of the night and I caught the messages in the morning.
Luckily, one call to the bank's fraud line sorted it and my money was refunded in a few days.
Regardless, I will never use my debit card (VISA) for anything online again. Only CCs.