Preheat oven to 300°. Line two baking sheets with parchment or Silpats.
Make the cookies. Combine almonds, confectioner's sugar, cinnamon, cloves, and salt in a food processor. Process until finely ground and even.
Add the egg white and process until the mixture is smooth. If necessary to help the mixture stick together add ½–1 tsp. water and process until the dough comes together in a ball.
Lightly dust a work surface with powdered sugar. Roll the rough out to ⅓″ thick and cut into 2″ stars.
Lay the stars on the prepared cookie sheets about 2″ apart.
Bake for 11–12 minutes, until barely browned and slightly dry looking, but still soft in the center.
Cool cookies on the sheet 3 minutes before moving to a wire rack.
While the cookies cool, make the icing. Beat together the egg white and confectioner's sugar until thick, opaque, and smooth. Add the lemon juice and beat to combine.
Using a butter knife, spread a thin layer of icing on each cooled cookie, just enough that the top of the cookie appears bright white.
Let the icing set completely before eating or moving.