Place the mozzarella on kitchen paper to absorb excess water.
Heat a frying pan over medium heat. Drizzle the figs with honey (if using), then arrange flat side down on the pan, and grill for 1- 2 mins until slightly caramelized. Remove the figs from the pan and allow to cool a little.
In a small jar mix together 1 tablespoon of olive oil and ½ teaspoon of balsamic vinegar. Season with salt and pepper to taste, close the lid and shake for a few seconds, until combined.
Cut the mozzarella into wedges and set aside.
Arrange a handful of arugula leaves on a plate, top with mozzarella wedges and caramelized figs, drizzle the vinaigrette all over and serve immediately.