Whisk flour, ginger, cinnamon, baking soda, cloves, and salt in a medium bowl; set aside.
Beat butter and brown sugar with an electric mixer in a large bowl until fluffy, about 3 minutes. Beat in molasses and egg.
Gradually mix in flour mixture on low until just combined. Halve dough, flatten into disks, wrap in plastic, and refrigerate at least 2 hours or overnight.
Heat oven to 350°F; line sheets with parchment.
Roll dough ¼-inch thick on a lightly floured surface. Cut with cookie cutters; place 2 inches apart on sheets.
Sprinkle generously with sparkling sugar. Bake 8-10 minutes until edges set. Cool on sheets 5 minutes, then completely on a rack.