Combine the sugar cube and 1 small splash (about 1 1/2 tsp) club soda in a mixing glass.
Using a muddler, pulverize the sugar cube into the club soda to create a paste.
Add the tequila, allspice dram and bitters. Add ice and stir 25 to 30 times.
Strain into rocks glass over ice.
Express the oil of a lemon twist over top, and garnish with the twist.