A popular email forward from a few years back states that if you spritz yourself with a 10 to 1 mix of water to Listerine, you'll repel mosquitoes. While the menthol and eucalyptus doesn't appeal to the critters, the dilution won't be enough to make much of a difference. (And directly applying Listerine to skin will just dry you out.)
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Mosquitoes will be the least of your problems.