In a measuring jug, combine flour and baking soda. Set aside.
In a saucepan, combine butter, honey, brown sugar, cloves, all-spice, cinnamon, and finely ground white pepper. Bring to a boil, then take off the heat and quickly stir flour into the mixture. (See notes if the dough is crumbly)
Let the dough cool to room temperature, then shape it into a ball and wrap it with plastic wrap. Refrigerate for 20-30 minutes.
Preheat oven to 350 degrees F. Divide dough into four parts and roll each into a 1/2-inch thick log. Cut each log into 8 pieces and roll them into a small ball. Place balls on a parchment paper-lined baking sheet.
Bake in the lover half of the oven for 10-12 minutes. Remove the baking sheet from the oven and immediately transfer cookies to a cooling rack. Let cookies cool to room temperature.
To make the glaze: In a medium bowl, beat egg white with 1 tablespoon of honey. Gradually sift in 1 cup powdered sugar, mixing until smooth. Dip cookies in the glaze then place on a rack set up over a baking sheet until coating hardens.