Chicken, Grated Beets, and Beet Greens With Orange Butter
1 1/2 tablespoons butter, room temperature, divided
1 tablespoon extra-virgin olive oil, divided
2 skinless boneless chicken breast halves
Melt remaining 1/2 tablespoon butter with 1/2 tablespoon oil in same skillet over medium-high heat. Add shallots; stir until tender and beginning to brown, about 1 minute. Add beet greens; toss until leaves are tender but still bright green, about 2 minutes. Add 1 teaspoon Sherry wine vinegar; stir 30 seconds. Season to taste with salt and freshly ground black pepper.
Spoon greens alongside chicken; cover to keep warm. Add grated beets and 1/3 cup water to same skillet; cover and cook 2 minutes, stirring occasionally. Uncover and continue cooking until beets are tender and water is almost evaporated, stirring often, about 1 minute. Add remaining 1 teaspoon vinegar; stir 30 seconds. Season to taste with salt and pepper.