I'm left-handed, and historically I haven't been sick very often. I had a silly thought that it's perhaps because I always shake hands with my right hand when I encounter people, and don't use my right hand for much anything else. So with potential germs from others primarily on my non-dominant hand, maybe that's a reason I don't get sick as much.
I'm guessing nobody has tested that through a controlled science experiment yet, but I have no idea.