you can marinate/brine chicken in it. i've done that with leftover pickle brine and chicken legs, which imparted a weird but tasty dill and garlic taste to the legs (which were grilled).
also, i like to make a rub out of black peppercorns, powdered garlic, cloves, s&p, bay leaves and allspice, and rub it on pork chops before grilling. the chops are then served topped with pickled hot peppers, and a good splash of the brine.
you could do the same kind of ideas using the olive brine.
A true lover of nature does not despair now that his mistress has turned a colder cheek.