How do you shake hands, firmly or feebly?

I had a strange handshake experience yesterday during a business meeting with an Attorney. As a women I offer a firm handshake and am usually the first one to extend my hand. This guy just barely grasped the tips of my fingers and I found it rather bizarre. Maybe I caught him off guard but you would think, as a professional, that a handshake would be pretty standard business etiquette.

Are you a firm shaker or a creepy finger squeezer? haha