In a mini food processor, combine Parmesan, Greek yogurt, ¼ cup lemon juice, anchovy fillets, Worcestershire sauce, and garlic and pulse.

With the motor running, add 2 tablespoons olive oil and puree until smooth.

Season with salt and pepper.

Heat a grill or grill pan over high heat.

Season chicken with salt and pepper and rub with remaining olive oil.

Grill until golden and cooked through, 7 to 8 minutes per side.

Pour remaining lemon juice over chicken breasts and transfer to a cutting board.

Let rest for 5 minutes, then slice into thin strips.

In a large bowl, toss kale and tomatoes.

Add half the Caesar dressing and taste, adding more if desired.

Divide salad among 4 plates and top with grilled chicken and more Parmesan.