1To make infused vodka, pour vodka into airtight jar; add candy canes and seal jar. Let stand 10 to 12 hours to infuse the flavor, shaking periodically throughout the day.
2To decorate rim of glass, pour chocolate syrup on 1 plate; place crushed candy canes on second plate. Dip rim of glass into chocolate; dip immediately into candy.
3To make cocktail, in shaker full of ice, pour vodka and schnapps; shake. Pour into glass. If desired, squeeze some additional chocolate syrup into glass.