No, cutting onions is not good for your eyes; it actually causes irritation.
When you cut into an onion, you release compounds that create an eye-irritating gas. According to research, onions are rich in sulfur. When chopped, they release sulfurous compounds and enzymes into the air, which then mix to form this irritating gas. This is why our eyes tear up when cutting onions, it's a natural defense mechanism to flush out the irritant.