How to Make It
Preheat oven to 325°F. Toss potatoes with 1 tablespoon oil on a baking sheet; spread evenly. Bake at 325°F until just tender, about 45 minutes.
Heat 2 tablespoons oil in a large cast-iron skillet over medium-high. Add onions, bell pepper, carrot, garlic, 1/2 teaspoon salt, and 1/4 teaspoon black pepper; sauté 10 minutes. Place onion mixture in a medium bowl.
Heat remaining 3 tablespoons oil in pan over medium-high; add potatoes in a single layer. Sprinkle with 1/2 teaspoon salt; cook, turning occasionally, until golden, about 8 minutes. Add onion mixture and chuck roast; cook, stirring occasionally, until heated through, about 3 minutes. Sprinkle with remaining 1/4 teaspoon salt and remaining 1/2 teaspoon black pepper. Top with eggs; sprinkle with chives.