1. Combine sugar and 2 tablespoons water in a small, heavy saucepan over medium-high heat; cook until sugar dissolves, stirring gently as needed to dissolve sugar evenly (about 1 minute). Continue cooking 5 minutes or until golden (do not stir). Remove from heat; carefully stir in cherries and vinegar (caramelized sugar will harden and stick to spoon). Place pan over low heat until caramelized sugar melts.
2. Heat 2 teaspoons oil in a large nonstick skillet over medium-high heat. Sprinkle 1/8 teaspoon salt and pepper over duck. Add duck to pan; cook 5 minutes. Turn duck over; cook 4 minutes or until desired degree of doneness. Remove from pan; let stand 5 minutes. Cut duck across the grain into thin slices.
3. Return skillet to medium heat. Add remaining 1 teaspoon oil, shallots, and garlic to pan; cook 1 minute or until tender, stirring frequently. Add wine to pan; increase heat to medium-high. Bring mixture to a boil; cook until reduced to 3/4 cup (about 6 minutes). Add broth; bring to a boil. Cook until reduced to 1/2 cup (about 6 minutes). Pour wine mixture through a fine sieve into cherry mixture; discard solids. Bring cherry mixture to a simmer over medium heat. Stir in cream; simmer 3 minutes. Remove from heat; stir in remaining 1/8 teaspoon salt. Serve sauce over duck.