Combine mayonnaise, lemon zest, lemon juice, salt and pepper, celery, shallot, tarragon and chives in a bowl.
Add lobster meat to mayonnaise sauce and combine.
Rub the rim of 4 martini glasses with a lemon. Dip the rim in some dry rub. Divide the lobster salad between the 4 glasses. Garnish with dry rub and lemon slices.