Prepare all ingredients as listed above. Chop the lobster meat and celery, slice the cheese, and measure out the remaining ingredients.
In a bowl, combine the chopped lobster meat, celery, mayonnaise, lemon juice, chives, dill, salt, and black pepper. Mix well until the lobster meat is evenly coated.
Preheat a skillet or griddle over medium heat. Melt the butter in the skillet.
Place the hot dog buns in the skillet and toast until golden brown on both sides, about 2 minutes per side.
Divide the lobster mixture evenly between the toasted buns, filling them generously.
To make the chia fresca, squeeze fresh lemon juice and set aside. Measure the maple syrup or honey, chia seeds, and a pinch of salt. In a medium pitcher, combine the lemon juice and maple syrup or honey. Stir well. Add the chia seeds and salt, then slowly pour in sparkling water while stirring gently to combine. Pour the chia fresca into glasses and garnish each with a sprig of fresh mint.
Plate the lobster rolls alongside the sliced cheese, crackers, pickle spears, and sparkling chia fresca.