Mix the butter, sugar and gin together until thoroughly blended. Mix in the flour, lavender and salt until it gets doughy. Roll out the dough on a floured surface to 1/2 inch thick. Freeze for 10 minutes.
Roll the dough into about 24 little balls and dunk them in the beaten eggs. Put the balls on a silicone baking mat on a baking sheet and smash them with your thumb to make craters. Put some goat cheese in each crater. Bake until lightly golden on the edges, about 10 minutes.