As in you can feel an electrical current flowing through you while on the phone when it is plugged in?
Originally Posted by dannymichel
Are you using the phone whilst it is connected to the computer?
Regardless of the answers to these questions, the answer to your questions is very simple (and rather annoying);
Your computer has a bad ground. And it can damage your phone or anything else plugged into it! Probably not at the immediate, but over time it can hurt it.
See, without a proper ground, the electricity in your computer has no outlet. Be that static electricity (and it makes a TON of that, that's why before you take your computer apart you should be grounded as well), or just residual power that it has drawn from the wall.
So in short, it is bad grounding, and yes it can damage your phone over the long term.