Make the dressing: whisk together white vinegar, canola oil, soy sauce, sesame oil, lime juice, brown sugar, ground ginger, salt, black pepper and minced garlic in a small bowl until sugar dissolves.
Reserve half of the dressing in the bowl for the salad and pour the other half into a large zip-top bag.
Marinate the chicken: add chicken cutlets (or pounded breast pieces) to the bag, seal, and turn to coat. Refrigerate until ready to grill.
Cook the orzo: bring a large pot of salted water to a boil and cook orzo according to package directions until al dente. Drain completely and transfer to a large bowl.
Add vegetables to the orzo: toss in chopped green onions, diced carrot, diced red pepper, chopped spinach and diced celery.
Dress the salad: pour the reserved dressing over the orzo and vegetables and toss until evenly coated. Chill in the refrigerator until ready to serve.
Grill the chicken: heat the grill to high, place chicken on the hot grill, cover, and cook 3–5 minutes per side until cooked through; actual time depends on thickness.
Assemble and finish: transfer the orzo salad to a serving dish, top with toasted slivered almonds and ramen noodles, arrange sliced grilled chicken over the salad, and sprinkle with sesame seeds.