The crossword solution for the term 'Eggy Beverage' is 'NOG'. NOG is a traditional holiday drink made from eggs, milk, sugar, and spices. It is often served during Christmas and New Year's celebrations. It is usually made with either brandy, rum, or whiskey, although some recipes call for other types of alcohol. The origin of the word 'NOG' is uncertain, but it is thought to have come from the English word 'NOGGIN', which was a small wooden mug used to serve drinks.