No...but I guess its not a bad idea! I inherited the listerine thing from a swim coach. When you swim, you are constantly exposed to sicknesses that other swimmers leave in the pool...and often times, the pool water gets in your mouth more than you like. It kinda made sense after that...it is good to wash hands because your hands are the part of your body that makes the most common contact with your mouth. But why not have Listerine as a second line of defense, working inside your mouth. Or, maybe it is all just placebo.
I would also advise people not to touch their ears, nose or eyes when people are sick around you. I think those are a few things that people forget about.
Just remember: if it hadn't been to the filthy, disease-ridden conditions the Europeans lived in, they wouldn't have conquered the Western Hemisphere so easily.
Actually, that might have to do more with the intentional practice of spreading virus and disease to unaware native peoples. But, yea, nothing like glorifying that wonderful chapter of history.