Preheat the oven to 350℉. Line a baking sheet with parchment paper or a Silpat. Spread the cheese out into a thin, even layer (or make about 6 small rounds if you like more burnt edges).
Bake for 6 to 10 minutes, until the cheese is melted and the edges are brown and crisp.
Remove the baking sheet from your oven and let the Parmesan cool on the pan for about 10 minutes until it's completely crisp. Break into bite-sized pieces and set aside.
Wash the kale and romaine and pat them dry. Remove the kale stalks, then cut the kale and romaine into thin strips. Add to a large bowl.
To make the dressing, in a mason jar, combine the garlic, Dijon, honey, lemon or lime juice, salt, and pepper. Shake well. Add olive oil and shake again until emulsified. Taste and adjust the seasoning to your preference.
Add the chicken and 3/4 of the Parmesan crisps to the large bowl holding the kale and romaine. Drizzle about half of the dressing over the salad, then toss until well coated. Add more dressing if needed.
Top with the remaining Parmesan crisp, then serve with lemon or lime wedges.