Sake Spear with Cucumber Ice

Ice: Several hours in advance, combine cucumbers and water in a blender on high until smooth. Strain mixture a little at a time through a fine strainer, pressing the pulp of each batch with the back of a large spoon until all the water is extracted. The water should appear light green. Pour into ice cube trays and freeze.
 

Cocktail:Fill four 14-ounce highball glasses halfway with cucumber ice. Pour sake, ginger beer or ale, and club soda over cucumber ice, and stir. Slice a cucumber lengthwise into spears, and garnish along with a lemon slice.