Place the orange juice, brandy, and honey in a medium saucepan and bring to a boil. Immediately reduce to a simmer, add vinegar, and cook for 2 minutes.Advertisement
Meanwhile, cut pomegranates in half. Hold pomegranate halves over a large bowl and beat each one with the back of a wooden spoon to release seeds and juices. Place 2/3 pomegranate seeds and any accumulated juices, thyme, and chicken stock in the jar of a blender; blend for 10 seconds. Strain pomegranate mixture through a fine sieve into saucepan.
Return glaze to a simmer. Stir in butter. Spoon over duck and garnish with remaining pomegranate seeds.