In a mixing bowl, mix together the chickpea flour and water, until all the lumps are gone and the consistency is even. Add 2 tablespoons of olive oil, the salt and black pepper, to taste, and mix thoroughly. Let the mixture rest for about an hour.
Preheat the oven to 450 degrees F.
Spread the remaining olive oil on a 14-inch pizza pan and pour the batter into the central part of the pan without shaking it. The pan should remain completely oiled with the batter floating on top.