Preheat oven to 350°. Place the first 7 ingredients in a small heavy saucepan. Add liquid smoke, if desired. Bring to a boil; reduce heat. Simmer, uncovered, until thickened to consistency of jam, about 25 minutes. Stir in 1/4 teaspoon salt and 1/8 teaspoon pepper. Remove from heat; keep warm., Meanwhile, pound chicken breasts with a meat mallet to 1/4-in. thickness. Sprinkle goat cheese and chopped basil over chicken. Roll up chicken from a short side; secure with toothpicks. Sprinkle with remaining 1/4 teaspoon salt and 1/8 teaspoon pepper., In a large ovenproof skillet, heat butter and olive oil over medium heat. Add chicken; brown on all sides. Bake, uncovered, until chicken is no longer pink 12-15 minutes. Discard toothpicks. Serve with tomato jam and julienned basil.