Live flight information is available for Ercan, Larnaca and Paphos Airports. If you prefer you can use the detailed search function, where you can search by flight number, departure or arrival airport, route and date.
N.B. For commercial or legal reasons, flight numbers sometimes change at a transit point. The route search will only show sectors, not end to end. For example, a flight which routes LHR/ANK/ECN will not show if you search for LHR/ECN. You may have to combine two searches to get the results you're looking for.