Preheat a grill
to medium and lightly oil the grates with the olive oil.
a clean work surface with the flour, and roll the dough out into a 12-inch circle. Transfer the dough to a pizza peel or the back of a large baking sheet, and slide the dough onto the hot grill. Cook, without turning, until well marked and cooked on 1 side, about 3 minutes. Turn the dough over and quickly spread the pesto over the dough in a thin, even layer. Lay the prosciutto
slices over the pesto
, then sprinkle the cheese
evenly over the prosciutto. Continue to cook, rotating the dough every 30 seconds or so, until the cheese is melted and the bottom of the crust
is well-marked and cooked through, 3 to 4 minutes.
Remove from the grill, cut into 6 slices and serve immediately.