Having no taste for something is often described as an aversion or dislike towards a particular thing or activity. However, there are several antonyms that can be used to express a more positive inclination towards the same. Some of the antonyms for having no taste for include being fond of, enjoying, admiring, appreciating, relishing, savoring, cherishing, delighting in, taking pleasure in, and reveling in. These words denote a sense of enjoyment, pleasure, or satisfaction towards something, which is the opposite of having no taste for it. By using these antonyms, one can express a more positive attitude towards a particular thing or activity, rather than simply expressing dislike or indifference.