In a large bowl, combine the shredded rotisserie chicken, green onions, cilantro, toasted almonds, sesame seeds, and chili crisp.
In a separate bowl, whisk together the mayonnaise, sesame oil, lime juice, rice vinegar, soy sauce, and minced shallots.
Pour the dressing over the chicken mixture. Toss until everything is evenly coated.
Transfer to a serving bowl or airtight container.
Refrigerate until ready to serve.
Serve with crackers, cucumber slices, lettuce cups, or tucked into a sandwich.
