To salt the rims of two glasses, use the 1/2 lime to wipe around the rim of each glass. Pour out a generous 6-inch line of salt. Roll the outside rim of each glass along the salt line to lightly salt the outside rim of the glass (not the inside or it will make your cocktail too salty when you take the last sip).
Pour the tequila, Cointreau, triple sec, clementine juice and lime juice into a cocktail shaker. Fill with ice. Shake for 20 seconds until your hands get cold.
Strain into the prepared glasses and drink responsibly.