Savory is rich in tannin, linalool, 1-borneol, x1-pinen, cymol, and carvacrol. Carvacol is widely known as oregano oil, a popular natural health product.
A great resource for a more complete list of Summer Savory claims can be found here:
http://www.diethealthclub.com/health-food/savory-health-benefits.html