Make the celery crunch: In a small bowl, combine finely diced celery, rice vinegar, sugar, and salt. Stir and let sit for at least 10 minutes while you prepare the rest.
Make the dressing: In a small bowl or jar, whisk together mayonnaise, soy sauce, rice vinegar, sesame oil, honey, garlic, and ginger until smooth.
In a large bowl, combine shredded chicken, sliced celery, shredded carrots, green onions, toasted almonds, and cilantro.
Pour the dressing over the salad and toss gently until everything is evenly coated.
Drain any excess liquid from the celery crunch mixture (or leave it if you like extra tang) and fold it into the salad.
Serve immediately, or refrigerate for at least 30 minutes to let flavors meld. Garnish with extra cilantro and almonds if desired.