In a 10-inch cast-iron or other heavybottomed, oven-safe skillet, heat 2 tablespoons of the olive oil on the stove over medium heat. Add the carrots, celery, onion and salt, then sauté until the vegetables are softened but not browned, about 10 minutes.
Add the Tabil spice mixture to the skillet, stirring it into the vegetables and sautéing until fragrant, about 1 minute. Add the chickpeas, stir to combine and remove from heat. Set aside and allow to cool to room temperature.
When the vegetable mixture has cooled, preheat the oven to 350°F. and use the remaining 2 tablespoons of oil to coat a 9- by 13-inch baking dish.
In a large mixing bowl, whisk the eggs vigorously until frothy, then stir in the parsley, breadcrumbs, cheese and cooled vegetable/chickpea mixture.
Pour the contents of the mixing bowl into the oiled baking dish. Bake until golden brown around the edges and cooked through, about 40 minutes.
Remove from the oven and allow to cool for at least 15 minutes, then cut into squares and serve warm or at room temperature, garnished with chopped parsley and a drizzle of olive oil.