Cook the lobster tails in boiling water for about 8-10 minutes.
Remove the lobster meat from the shells and chop it into bite-sized pieces.
In a bowl, combine mayonnaise, lemon juice, and chives.
Add the chopped lobster meat to the bowl and gently mix until coated.
Season the mixture with salt and pepper to taste.
Heat a skillet over medium heat and add butter.
Toast the hot dog buns in the skillet until golden brown.
Place a layer of lettuce in each bun.
Spoon the lobster mixture into the buns generously.
Serve immediately with lemon wedges on the side.