In a bowl, combine the lobster meat, mayonnaise, celery, lemon zest and juice, and chives. Mix gently to combine the ingredients without breaking the lobster. Set aside.
To prepare the bread: Heat oven to broil. Spread some butter evenly on the inside of the rolls. Open the buns wide enough so they can evenly toast in the oven and place them on a baking tray. Toast them until lightly golden brown (3-5 minutes). If you don’t want to broil the buns, you can also place the rolls buttered side down on a frying pan or cast-iron skillet and toast until golden.
Allow to cool a few minutes and place the lobster filling in. Serve with lemon wedges and a side of your favourite chips. Enjoy!