Roll out the puff pastry no more than 10 minutes before apples are done; the pastry needs to stay as cold as possible for maximum puff.
Peel and core apples; cut in half lengthwise. Toss together apples and sugar; place in a 12-inch cast-iron or ovenproof skillet.
Cook over medium-high heat, stirring often, 20 to 30 minutes or until apples soften and start to caramelize.
Unfold and stack pastry sheets on top of each other on a lightly floured surface. Roll to a 12-inch square. Place on top of cooked apples, with pastry corners overlapping sides of skillet.
Bake at 450° for 10 to 12 minutes or until dark golden brown.
Cool on a wire rack 10 to 15 minutes. Carefully invert tart onto a serving plate; remove skillet. Cut tart into wedges, and serve with Ol' South Custard.
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