True story:
I was attempting to cancel an old bank account, and I had a reoccurring payment processed through Paypal every month. No big deal, right? I just cancelled the payment and set up my new CC info for that vendor, and went on my merry way.
A month later, I find that my old "closed" bank account is still open because Paypal is still sending charges. It turns out that they've tried THREE TIMES to charge a payment that's been cancelled, causing my account to overdraft each time.
I call them. They tell me there's nothing that they can do about the previous charges, but they'll stop the payment. A week later, THE SAME THING happens. Same thing the next week. Same thing the next week...
This happened 4 times, causing me a ton of headache. Fortunately my bank was understanding and helped me with the charges - they told me that they see this a lot.
I wasn't impressed at all. I cancelled my Paypal account shortly after.