In a 3- to 4-quart pan over high heat, combine apricots, vinegar, sugar, chilies, cherries, onion, cinnamon, mustard seed, and salt.
Bring to a boil. Turn heat to low. Cover and simmer, stirring occasionally, until apricots are soft when pierced, 20 to 25 minutes. Uncover and simmer until most of the liquid evaporates, about 5 minutes longer.
Let cool, discard cinnamon, and serve chutney, or cover and chill.
Nutritional analysis per 2 tablespoons.