Melt the butter in a medium nonreactive and ovenproof skillet over medium heat. Add the granola, 1 tablespoon of the flour and 1 tablespoon sugar and toss until the sugar is dissolved and the granola is well coated. Transfer to a bowl. (Reserve the skillet.)
Pour the apples into the skillet; toss with the pumpkin pie spice, lemon juice and remaining 1/4 cup sugar. Cook, stirring occasionally, until the apples are juicy and slightly softened, 5 to 7 minutes. Stir in the remaining 1 tablespoon flour. Scatter the reserved granola mixture evenly over the top and transfer the skillet to the oven. Bake until the crisp is bubbling and the apples are tender, 35 to 40 minutes. Serve warm.
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