On a griddle, place all of the slices of bread, butter side down.
Place both slices of bread, butter side down, into the pan. Place the 4 slices of cheese on 4 slices of the bread.
Cook the bread until it's toasted to golden brown and the cheese has melted. Remove the bread slices from the griddle.
Spread 1/3 cup chicken salad on the slices without the cheese. Place a piece of lettuce and 2 tomato on the top of bread with the chicken salad. Then top each sandwich with a slice of the bread with the melted cheese.