1. In a large mixing bowl, combine the cooked and shredded chicken breast, diced avocado, red onion, celery, and cilantro.
2. In a small mixing bowl, whisk together the lime juice and olive oil until well combined.
3. Pour the lime juice and olive oil mixture over the chicken and avocado mixture, and toss until everything is well coated.
4. Season with salt and pepper to taste.
5. Serve immediately or store in an airtight container in the refrigerator for up to 3 days.