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Preheat oven to 375°F
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Beat 1/3 cup butter with 1/4 cup sugar in a small bowl with electric mixer until light and fluffy; beat in egg. Stir in flour, mixing well, until a soft dough forms; spread evenly into a lightly greases 9x9x2-inch baking pan (dough will be thin).
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Bake in a 375F oven for 12 minutes or until dough begins to firm up but is not fully cooked. Remove pan to wire rack. Lower oven temperature to 350°F
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Meanwhile, melt remaining 1/2 cup butter in a medium-size saucepan. Add brown sugar, the 3 Tbsp sugar and honey. Bring to boiling; boil rapidly 2-1/2 minutes (it will be caramel colored and thick). Carefully add cream and bring back to boiling. Remove from heat; stir in pecans. Spread mixture evenly over cookie dough.
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Bake in 350F oven for 25 minutes, or until pecan mixture is bubbly and begins to set. Remove to wire rack; cool completely. Pecan topping will become firm upon cooling. Cut into 8 lengthwise strips and 9 diagonal strips to make diamond-shaped cookies.