Greek Cypriot surnames are often patronymics, formed as the genitives of given names. Surnames are quite region-specific in Greek, so you can tell a Greek Cypriot surname: it’s the one *without* a suffix, like -opoulos, -akis, -idis, -ellis, -atos, etc.
Greek Cypriots use a few more Ancient names than Greece Greeks, and a lot more Old Testament names. For a truly random sampling, there’s the current Cypriot cabinet:
- Nicos Anastasiades
- Ioannis Kasoulidis
- Harris Georgiades
- Socratis Hasikos
- Christoforos Fokaides
- Costas Kadis
- Marios Demetriades
- Georgios Lakkotrypis
- Nicos Kouyialis
- Zeta Emilianidou
- Ionas Nicolaou
- George Pamboridis
- Nikos Christodoulides
- Constantinos Petrides
Nicolaou is “Nicholas”; that’s in fact my surname in Greek. (My father is Cypriot, though I haven’t spent much time there.) Most of the other surnames are -ides/-ades, the revived ancient Greek patronymic which also got taken up by Pontic Greeks. Ionas is “Jonah”; you’ll be hard-pressed to find anyone in Greece called Jonah. There are some Socrates’s in Greece, but I think there are rather more in Cyprus. Btw, Marios (Mario) is more common in Cyprus as a name as well.