Quarter, seed and peel papaya; sprinkle with 1 tablespoon lime juice. In medium bowl, combine chicken, pea pods and green onions.
In small bowl, combine mayonnaise, 2 tablespoons lime juice, salt and pepper; blend well. Spoon mayonnaise mixture over chicken mixture; toss gently.
Arrange lettuce on 4 individual plates; top with papaya. Spoon 1/4 of chicken mixture over each papaya quarter; sprinkle each with sesame seed.