Get in: Cyprus is committed to implementing the Schengen Agreement although it hasn’t yet done so. For citizens of the European Union (EU) or European Free Trade Area (EFTA) (i.e. Iceland, Liechtenstein, Norway and Switzerland), an officially approved ID card (or a passport) is sufficient for entry. Other nationalities will generally require a passport for entry.
Travel to/from any other country (Schengen or not) from/to Cyprus will result in the normal immigration checks, although customs checks will be waived when travelling to/from another EU country.
Inquire with your travel agent or with the local embassy or consulate of Cyprus.