Considering the population, Cyprus is more like a middle-size city than a country. It joined the EU in 2004 and the Eurozone in 2008 - their problems are much older than that. Other than for humanitary reasons, the EU shouldn't and doesn't really care if they go under. If panicked investos withdraw their money they shall - smarter investors will pick up their holdings and realize gains; the doomsayers will end up as losers, like the US hedge funds ala Paulson betting against the EU the last years.