Generously Sprinkle The Chicken Breast Halves With Lemon Pepper. Place Chicken, Vermouth, 3 Tablespoons Olive Oil, And Tarragon Into A Large Resealable Plastic Bag. Place In The Refrigerator To Marinate For At Least 6 Hours, Or Overnight. Heat 1 Tablespoon Of Olive Oil In A Large Skillet Over Medium-High Heat. Brown Chicken Breasts On Both Sides In The Hot Oil. Pour 1/2 Cup Of The Marinade Into The Skillet, Reduce Heat To Medium-Low, Cover And Simmer For About 20 Minutes, Or Until The Chicken Is No Longer Pink.