Heat chicken stock in a saucepan over medium-high until steaming but not boiling; reduce heat to low to keep warm.
Heat 2 tablespoons of the oil and 1 tablespoon of the butter in a medium saucepan over medium-high. Add leeks and garlic; cook, stirring often, until tender, 5 to 7 minutes. Stir in rice and thyme; cook, stirring until coated, 1 to 2 minutes. Add wine; cook, stirring constantly, until absorbed, about 1 minute. Add 2 cups of the warm stock and 1 teaspoon of the salt to rice mixture. Cook, stirring often, with a wooden spoon or rubber spatula, until almost absorbed, about 10 minutes. Continue adding remaining warm stock, about 1 cup at a time, stirring constantly until most of the liquid has absorbed between additions, about 25 minutes total. Rice should be tender and saucy. Remove and discard thyme.
Remove from heat, and stir in Parmigiano- Reggiano, lemon juice, and remaining 1 tablespoon butter. Set aside.
Heat remaining 2 tablespoons oil in a large cast-iron or stainless steel skillet over high. Sprinkle scallops with remaining 1 teaspoon salt, and place in hot oil, leaving space between each one. Using a spatula, press each scallop lightly to ensure good contact with skillet. Cook scallops until well browned, 1 to 2 minutes on each side. Transfer to a plate.
Stir fresh tarragon into risotto; spoon desired amount into bowls, and top with scallops. Serve immediately.