Adjust oven rack to lowest position and heat oven to 450 degrees.
Cut dough into 4 more or less equal pieces; stretch each piece into an approximate 12- by 3½ to 4-inch rectangle and placing them all crosswise on a large cornmeal-coated baking sheet.
Mix jam and figs with 2 tablespoon each of the oil and vinegar; spread a portion over piece of dough.
Bake until crisp and golden brown, 10 to 12 minutes.
Remove pizzas from oven; drape a portion of prosciutto over each pizza; return to oven and continue to bake until prosciutto curls, 2 to 3 minutes longer.
Meanwhile, toss arugula, goat cheese, and onion with remaining tablespoon of olive oil and a generous sprinkling of salt and pepper.
Add remaining balsamic; toss to coat again.
Remove pizza from oven, top with salad and serve.
Recipe by Three Many Cooks at https://threemanycooks.com/recipes/nibbles-and-apps/figgy-pizza-with-arugula-and-goat-cheese/