Preheat your oven to 375°F (190°C).
Line a baking sheet with parchment paper and place the lobster claws in a single layer for even cooking.
Drizzle lemon juice, add butter, and season with black pepper and salt for flavor.
Bake the lobster claws for about 10 minutes until heated through.
Mix mayonnaise, lemon juice, and Old Bay Seasoning in a small bowl for the dressing.
Allow the baked lobster claws to cool briefly.
Serve the lobster claws with the prepared dressing on the side for customization.