Combine arugula, watercress, and endive in a large bowl; toss gently.
Cover and chill.
Combine vinegar and next 4 ingredients in a jar.
Cover tightly, and shake vigorously; chill thoroughly.
Pour vinegar mixture over arugula mixture, and toss gently.
Place 1 1/2 cups greens onto each individual salad plate, and top evenly with orange segments.