Preparation / Directions:
In a blender or small food processor blend together the olives, the garlic, the mustard, the vinegar, 1/2 teaspoon of the thyme, and salt and pepper to taste, with the motor running add 3 tablespoons of the oil in a stream, and blend the vinaigrette until it is emulsified. Add the tomato and the water and blend the vinaigrette until it is smooth.
Brush the chicken and the bell pepper with the olive oil, season them with salt and pepper, and grill them on an oiled rack set 5 to 6 inches over glowing coals, or in a hot well-seasoned ridged grill pan, covered, over moderately high heat, for 5 minutes on each side, or until the bell pepper is just tender and the chicken is cooked through.
Transfer the chicken and bell pepper to cutting board, cut the bell pepper into thin strips, and slice the chicken on the diagonal into 1/4-inch-thick pieces.
In a bowl toss the chicken pieces with the remaining 1 teaspoon thyme and salt and pepper to taste. Divide the arugula, the endive, the bell pepper, and the chicken between 2 plates and pour half the vinaigrette over each serving.