Preheat oven to 150 degrees C. Grease several baking trays.
Beat the eggs, white sugar and brown sugar in a bowl until the sugar has dissolved, then beat in lemon juice, almonds, baking powder, cinnamon, ginger, black pepper, allspice and cloves until thoroughly combined. Mix in flour to make a sticky dough.
Turn the dough out onto a well-floured work surface and knead the dough 1 to 2 minutes, adding more flour if needed to make a smooth, workable dough. Pinch off pieces of dough and roll them into balls about 4cm in diameter and place the balls on the prepared baking trays at least 3cm apart.
Bake in the preheated oven until a toothpick inserted into the centre of a biscuit comes out clean, about 25 minutes. Remove from sheets immediately to cooling racks to prevent biscuits from getting too hard.
Stir together icing sugar and water to make a glaze, and drizzle each biscuit while slightly warm with about 1/2 teaspoon, spreading it around the top of the biscuit.