In a bowl, combine the chopped lobster meat, celery, mayonnaise, lemon juice, chives, dill, salt, and pepper. Mix well to coat the lobster meat evenly with the dressing.
Preheat a skillet over medium heat. Melt the butter in the skillet.
Toast the buns until they are golden brown on both sides.
Divide the lobster mixture equally between the buns, filling them generously.
Serve the Maine lobster rolls with cheese and crackers and riesling.