1. Heat 2 tablespoons butter in a large high-sided skillet over medium-high heat. Season livers with salt and pepper; add to skillet and cook, turning once, until just cooked through (liver may be slightly pink inside), about 4 minutes per side. Remove livers from skillet and set aside.

2. Reduce heat to medium and add another tablespoon butter to skillet. Add shallots and season with salt and pepper; cook, stirring, until translucent, about 5 minutes. Add pears, thyme, cloves, cinnamon sticks, brown sugar, and 1/4 cup water. Cover and cook, stirring occasionally and adding water as necessary to prevent burning, until pears are soft and easily pierced with the tip of a sharp knife, about 15 minutes.

3. Remove skillet from heat; uncover and add brandy, scraping up browned bits at bottom of skillet to deglaze. Remove thyme and cinnamon sticks from skillet and discard.

4. Cut remaining 5 tablespoons butter into small cubes. Transfer remaining contents of skillet to the bowl of a food processor along with chicken livers, cream, vinegar, nutmeg, and cut butter. Process until mixture is very smooth; season with salt and pepper.

5. Strain chicken liver mousse through a fine mesh sieve, using a spatula to push mousse through sieve. Transfer to a jars and top each with a sprig of fresh thyme. Add enough clarified butter to top of chicken liver mousse to form a thin film, about 1/16 of an inch; cover and transfer to refrigerator to chill. Keep chilled until ready to serve, up to 1 week. Serve with sea salt, jam, and toasts.