Limes, pomegranates, pomelos, and Seville oranges can also interact with some medications, including statins such as atorvastatin. There just hasn't been as much research published regarding how other types of citrus (apart from grapefruit) interact with statins. Large quantities of lime or lime peel should be avoided, although small amounts (such as a twist of lime in a drink) are unlikely to cause a significant interaction.