How to Make It
Whisk vinegar, lemon juice, za’atar, salt, pepper, and garlic in a large bowl. Whisk in 4 tablespoons oil.
Heat a cast-iron skillet over high. Add remaining 1 tablespoon oil and swirl to coat. Working in batches, add cheese in a single layer and cook, flipping once, until browned, about 30 seconds per side.
Add romaine, chickpeas, cucumber, onion, and olives to dressing and toss to combine. Divide among plates and top with cheese.