Preheat oven to 400 degrees F or prepare barbecue (medium-high heat). Season chicken with salt and pepper. Roast or grill chicken just until cooked through, about 15 minutes. Cool. Cut chicken into 1/2-inch wide strips.
In large bowl, combine tomatoes, basil, olive oil, lemon juice and garlic. Let stand at room temperature 20 minutes. Add rice and chicken to bowl and stir to blend. Toss with 1/2 cup pecans. Spoon salad into center of platter; surround with field greens. Garnish with remaining 1 tablespoon pecans. Serve salad at room temperature.