In a medium saucepan, combine cherries & water over medium heat. Stir occasionally and cook until the cherries release their juices & soften. -about 10-15 minutes.
While the cherries are cooking, whisk sugar, cornstarch, cinnamon & salt together in a separate bowl.
Once your cherries have cooked 10-15 minutes, pour in the dry mixture & stir well.
Continue to cook, stirring constantly until mix thickens. About 2-3 minutes.
Remove from heat & stir in the lemon or lime juice.
Carefully transfer to glass jar & let cool in refrigerator.