Time in hot water bath for hot caponata?
Don't understand why you'd be putting this in water.
I would just put it in, stir occasionally, until hot to the touch. If you have a microwave oven, I would use that, microwaving in short increments and stirring until it is to your liking.
If you are looking for advice on canning caponata, take a look at this earlier Hotline question https://food52.com/hotline...