I have met a few customers to drop off work only because they lived around the corner. However, if it is to discuss a possible commission in person or receive money, I would meet them in a public place, like Starbucks.
I have had a few people ask to come to my personal studio, but as I still work from home, I feel that is a bit too much for me to handle. Once I have my own separate studio, then I'd feel more comfortable. :)
Please note, that I only met those in person that I felt remotely comfortable with. If you get a weird vibe, go with your gut feeling and not do it. However, don't alienate your customers... it's a fine line, but safety first!
<3