Just came across this in a book of Renaissance cooking - Fried Stuffed Figs:

Sounds Yummy.  I think I'd use Frangelica for the batter.

Or maybe you could wrap them in Bacon before frying . then substitute   sprinkling with granulated sugar and dip them in Chocolate , then sprinkle with powdered sugar..  Mmmm tasty !

The mind runs wild with possibilities. Consider coriander or allspice or mace, a sweet red wine and baking (without the batter). Thanks for the idea. 

I came across a commercial product and would love to make some. It really sounds good. You could probably carmelize some onions, and add some fresh figs and seasonings, and let it all reduce.

Vidalia Onion Fig Sauce

A truly luscious fig and onion sauce
Vidalia Onion Fig Sauce is a top seller year after year

Sweet figs and the delicate flavor of Vidalia onions make this top selling Vidalia Onion Fig Sauce delicious used in grilling or as a marinade. Add richness to your favorite pan sauce. Simply pour Vidalian Onion Fig Sauce over chicken or pork and roast for a company worthy meal. Vidalia Onion Fig Sauce is also incredible served over grilled meats and seafood, or as a delightful dipping sauce

Vidalia Onion Fig Sauce product label:

Ingredients:
Sugar, Water, Apples,Figs, Balsamic Vinegar, Vidalia® Onion (7.0%), Soy Sauce (wheat, soybeans, salt), Canola Oil, Fig Concentrate, Cider Vinegar, Orange Juice, Mustard (mustard seed, vinegar, water, salt, turmeric, spices), Onion, Xanthan Gum, Salt, Curry Powder, Spices, Citric Acid