Parmesan Crisps:

Heat a nonstick skillet over medium-high heat and sprinkle the cheese, by the tablespoon, into the skillet. Cook until lacy and slightly set; about 1 minute. Flip and cook until crisp, about 2 minutes more. Transfer to a wire rack to cool.

Dressing:

Combine the olive oil, anchovies, lemon juice, garlic, hot sauce, mustard, salt, Worcestershire sauce, and pepper, to taste, in blender or food processor. Blend until smooth.

Salad:

Put the lettuce, eggs, and tomatoes into a large serving bowl and crumble in the Parmesan crisps. Pour enough dressing on the salad to coat well, toss, and serve.