Sift flour, ginger, cinnamon, baking soda, salt, allspice, nutmeg, mustard, and cloves into large bowl. Using electric mixer, beat butter in another large bowl at medium speed until smooth and creamy, about 2 minutes. Add brown sugar; beat 1 minute. Add molasses; beat until fluffy, about 2 minutes. Add egg; beat until well blended, about 1 minute. Reduce speed to low; beat in vanilla. Add flour mixture; beat on low speed just to blend. Gather dough into ball; divide in half. Form each half into ball; flatten into disk. Wrap disks separately in plastic; chill until firm, at least 4 hours. DO AHEAD: Can be made 2 days ahead. Keep chilled.