Though it can be expensive, crabmeat is great for quick and delicious dinners. Substitute canned lump crabmeat for fresh, if you prefer, but avoid using regular canned crabmeat; the meat is too flaky for this dish. Rinse canned crabmeat for the best flavor.
To prepare dressing, combine lime rind, juice, oil, sugar, fish sauce, salt, and ground red pepper, stirring with a whisk.
To prepare salad, place celery and next 4 ingredients (through crabmeat) in a medium bowl; toss gently to combine. Drizzle dressing over salad; toss gently to coat. Place 1 lettuce leaf on each of 4 plates; spoon 1 cup salad into each leaf.