1. Preheat oven to 350 degrees with rack in center. On a lightly floured work surface, roll out dough to about 3/8 inch thick. Cut out eight 7-inch rounds, and transfer each round to a 4-inch round tart pan with a removable bottom. Fold edges under, and press dough into sides and corners of tart pans. Chill in freezer until firm, about 15 minutes.

2. Prick bottoms of shells all over with a fork. Transfer to a rimmed baking sheet. Line each shell with parchment, and fill with pie weights or dried beans. Bake until pale golden brown, 25 to 30 minutes. Remove parchment and weights. Let cool completely on a wire rack.

3. Preheat oven to 350 degrees. Whisk eggs, yolk, and 1/3 cup sugar in a small bowl. Pour in cream, whisking until combined.

4. Toss gooseberries with remaining 1/4 cup sugar in a medium bowl. Pile sugar-covered gooseberries into tart shells (a scant 1 cup per tart), and slowly pour in custard (about 1/4 cup per tart). Dip a pastry brush into each custard filling, and lightly brush onto edges of shell. Sprinkle tops with sugar.

5. Bake, rotating halfway through, until custard is just set and gooseberries are soft, about 35 minutes. Transfer to a wire rack to cool 15 minutes. Serve warm.