The name "chutney" covers a wide variety of foodstuffs. The common element which makes them all "chutneys" is that they are added to meals to add flavour; the best English "translation" of "chutney" is "relish". As such, they can be, and are, eaten with a wide variety of foods.
It's really good when served as a condiment for grilled meats. Especially pork chops and chicken breasts. My favorite is with a grilled white fish, such as grouper.
