In a large mixing bowl, combine 3 cups cooked chicken, shredded; 1 cup celery, diced; 1 cup red grapes, halved; and 2 scallions, sliced.
In a separate small bowl, add 1/2 cup plain Greek yogurt, 1 tablespoon Dijon mustard, 1 tablespoon lemon juice, 1/2 teaspoon salt, and 1/4 teaspoon black pepper. Whisk until the dressing is smooth and uniform.
Pour the dressing over the chicken mixture.
Gently toss the mixture with a large spoon or spatula until all ingredients are evenly coated. Taste and adjust seasoning only with the salt and pepper already listed if needed.
Cover the salad and refrigerate for at least 2 hours to let the flavors meld.
Serve the chicken salad cold.