It is not advised to drink any alcohol while taking statins. If you do choose to drink, you mustn't drink to excess. Consuming large volumes of alcohol with statins increases the risk of side effects greatly. Any side effects you do experience are likely to get much worse, and new side effects can appear. Some side effects may be dangerous, so make sure you and others are aware of what may happen, and you are within reach of medical assistance should you require it.
Statins are often taken for high cholesterol. Alcohol contains high levels of cholesterol itself, so alcohol can make the statin less effective and reduce treatment progress. When taking statins (for example Simvastatin, Rosuvastatin, or Atorvastatin), your doctor will likely advise you to consume a low-cholesterol diet with regular exercise.