The chicken salad mixture can be made a day ahead.
Store in the refrigerator until you are ready to assemble the sandwiches.
The Caesar dressing in this recipe can be used in other recipes, as well.

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Bottle it up and pour it over a tossed green salad, or drizzle it over baked chicken pieces.
Gradually add olive oil, and process until smooth; stir in Parmesan cheese.
Pour dressing over chicken, and toss to coat.
Stir together mayonnaise and garlic powder in a small bowl.
Brush cut sides of bread evenly with mayonnaise mixture.
Heat a large skillet over medium-high.
Divide chicken mixture and lettuce leaves evenly among bottoms of toasted bread; cover with bread tops.