Irish cheddar nicely complements the floral honey and sweet pears that are sandwiched in the Scones with Pears, Irish Cheddar, and Honey.
Preheat oven to 450 degrees. Whisk together flour, baking powder, baking soda, 2 tablespoons sugar, and salt in a large bowl to combine. Add butter to bowl and, working with a few pieces at a time, scoop some butter and flour mixture into your hands. Squeeze butter, pressing thumbs across your fingertips to flatten into petal shapes. Repeat until all butter is flattened and coated with flour mixture.
Add caraway seeds and currants to bowl, tossing to combine. Slowly add 1 cup buttermilk, stirring constantly with a fork, just until mixture begins to form clumps. Add more buttermilk if necessary, 1 tablespoon at a time, until no dry flour mixture remains in bowl.
Transfer mixture to a parchment-lined baking sheet. Lightly dust hands with flour and gather mixture into a ball, gently squeezing to form a dough (it may still crumble slightly).
Flatten dough to a 1-inch thickness and fold in half. Flatten and fold once more. Gently shape into a 1-inch-thick, 7-inch-diameter round. Cut into 8 equal wedges, then separate wedges 1/2 inch apart. Brush tops with buttermilk; sprinkle with remaining 2 tablespoons sugar.
Bake scones until puffed, golden brown on top, and hollow-sounding when tapped on bottoms, 15 to 18 minutes. Let cool slightly on a wire rack. To serve, split scones, sandwich pear and cheddar slices, and drizzle with honey.
The dough can be shaped into a disk, wrapped in plastic, and refrigerated 1 day ahead. Cut the dough into wedges, brush the tops with buttermilk, and sprinkle with sugar just before baking.