Place 1/2 slice lime and 2 thin slices ginger in the bottom of a cocktail shaker. Add the ice. Shake vigorously to crush the ginger and lime and chills until ice forms on the outside of the shaker cup. Strain into an Old Fashioned or small Rocks (Double) glass garnished with slice of ginger and remaining 1/2 slice of lime. Add small stick of Slim Jim- or better- spiced beef stick.