Preheat the oven to 400°F (200°C). Line a baking sheet with foil or parchment paper.
Place the 4 naan breads on the prepared baking sheet, spaced slightly apart.
Spread each naan with 1/2 Laughing Cow wedge until evenly covered.
Top each naan evenly with the grilled chicken, sliced red onion, and blue cheese crumbles.
Bake in the preheated oven for about 10 minutes, or until the naan reaches your desired crispness and the toppings are warmed.
Remove the flatbreads from the oven and immediately top each with pear slices and about 1/2 cup arugula per flatbread.
Drizzle about 1/2 tablespoon balsamic vinaigrette over each flatbread, sprinkle with chopped fresh rosemary if using, and finish each with 1 teaspoon honey.
Slice and serve warm.