Drain the liquid from the cherries into a medium saucepan, reserving the cherries. Add lemon juice, molasses, Tabasco sauce, and mustard to the liquid and bring to a boil. Mix cornstarch in water to make a paste, then add to cherry liquid, whisking constantly until thick enough to coat the back of a spoon. Remove from heat and add cherries. Serve over sauteed chicken breasts or roast duckling.