Cut the kasseri cheese lengthwise into four 1/2-inch thick pieces.

Arrange the cheese pieces in a single layer in a shallow dish.

In a small bowl, mix together the ouzo, olive oil, minced parsley, chopped thyme, and coarsely ground pepper.

Pour the ouzo mixture over the cheese pieces, ensuring they are coated.

Marinate the cheese in the refrigerator for at least 4 hours and up to 8 hours, turning once halfway through.

Preheat the broiler to high heat.

Remove the marinated cheese from the ouzo mixture and transfer each piece to a small broiler-proof gratin dish.

Drizzle 2 teaspoons of the remaining marinade over each piece of cheese.

Broil the cheese until it is soft and just begins to melt, approximately 4 minutes.

Serve the broiled cheese immediately with freshly grilled pita bread.