For the dressing: Combine the egg yolks, mustard, lemon juice, Worcestershire sauce, garlic, anchovy paste and some salt and pepper in a food processor. With the processor running, slowly add the oil until the dressing is thick and creamy.
For the salad: Preheat the oven to 375 degrees F. Heat a grill pan over medium-high heat.
Sprinkle the chicken with salt and pepper and dust with the paprika. Brown the chicken on the grill pan on both sides, then transfer the chicken to a baking sheet. Roast in the oven until cooked through, 15 to 18 minutes. Slice the chicken into strips.
Heat a nonstick skillet over medium-low heat. Combine the Parmesan and Romano cheese in a bowl. Using a tablespoon, make a few piles of cheese in the skillet. Let the cheese melt, and then flip the crisps. Cook until lightly browned on both sides. Place the cheese crisps on a paper towel.
Wipe out the grill pan and heat it over medium-high heat. Brush the romaine hearts on both sides with the olive oil. Grill the romaine hearts in batches, turning once, until just charred.
To serve: Place 2 romaine hearts on each plate side by side, top with a few chicken strips, drizzle with the dressing and garnish with the cheese crisps.
Consumption of raw or undercooked eggs, shellfish and meat may increase the risk of foodborne illness.
This recipe was created by a contestant during a cooking competition. It has not been tested for home use.