Just keep an eye on your bank statements. If you see any authorized charges, report them to whomever the person has made a purchase from, PayPal, and to your bank.
Someone in Nigeria got my banking info a few years ago and ordered two laptops and sent another $800 of my money to some bogus charitable fund to help feed people in Africa. I called the place they'd ordered the laptops from (Home Shopping Network) and was able to cancel those orders and the rest of the money was refunded by my bank. It was a relatively easy process that involved just filling out a form for each illegal transaction, changing my debit card and account #s, and changing my passwords. The money was refunded within a few weeks.