For vinaigrette, in a blender container or food processor bowl combine chutney, vinegar, mustard, garlic, and pepper. Cover and blend or process until smooth. In a small bowl combine olive oil and water. With blender or food processor running, add oil mixture in a thin steady stream to chutney mixture; blend or process for 15 seconds more.
Trim any fat from the pork; cut into 1/4-inch slices. Spray a large skillet with nonstick coating. Preheat the skillet over medium-high heat. Cook pork in hot skillet for 3 to 4 minutes or until pork is no longer pink, turning once. Remove pork from skillet; keep warm.
In a large bowl toss together the salad greens and water chestnuts. Pour about half of the vinaigrette over the greens mixture. Toss to coat.
To serve, divide greens mixture among 4 salad plates. Arrange some of the mango or nectarine slices and pork on the greens mixture. Drizzle each serving with about 1 tablespoon of the remaining vinaigrette. Sprinkle with the chives. Makes 4 servings.