it's an odd expression! it seems like a mixed expression to me. 'Beat you like an egg' when one is whisking an egg, it is often referred to as 'beating' an egg. Therefore, it means 'I beat you easily' A two minute egg.... Often people refer to three minutes as the time it takes to boil an egg. An egg would be undercooked in two minutes, so this statement does not make much sense to me. In short, it is over my head too!