Dry the thawed lobster meat thoroughly using paper towels and cut into preferred chunk sizes.
Melt 2 tablespoons of butter in a skillet over medium heat, add the minced garlic and lobster pieces, then cook gently while stirring until the lobster is heated through and coated in butter, about 2-3 minutes.
Transfer the warm lobster to a bowl using a slotted spoon, then mix in chopped chives, lemon zest, lemon juice, Creole Cajun seasoning, and black pepper to taste, tossing gently to combine.
Discard any remaining butter from the skillet and wipe it clean.
Add 2 to 3 tablespoons of butter to the skillet and warm over medium heat; brush this butter onto the sides of the brioche buns.
Toast the buns in the skillet until golden and crisp on both sides, then remove and wipe skillet clean again.
Lower the heat and melt the remaining butter in the skillet, then pour it over the seasoned lobster meat and toss to coat completely.
Spread mayonnaise evenly inside each toasted brioche roll.
Spoon the buttery lobster mixture into each bun and garnish with additional fresh chives if desired.
Serve immediately, optionally with lemon wedges and kettle chips for a full meal. Enjoy!