Best Answer: Vodka and club soda with a splash of Rose's Lime is called a Vodka Rickey. You can make the same drink with gin - but then it's a gin Rickey... A simple mixed drink with liquor and a single mixer is called a highball, but that's a generic term for any kind of liquor and any kind of mixer. Back in my cocktail waitress days my customers would just order by the ingredients. i.e. vodka/soda, vodka/7 (7-up), vodka/tonic etc.... There's also a vodka cloudy which is vodka, tonic and a splash of coke. Now that is one nasty drink.