None Cypriot Classical (480-323 BC) and: Hellenic (323-58 BC)
The Persians occupied Cyprus in about 525BC as part of their 5th Satrapy. Cyprus contributed men and ships to the Persian war against Greece 480-479BC. The Phoenicians, as allies of the Persions gained influence, controlling 6 of the 10 kingdoms, with 3 of the kings being Phoenician. They introduced their deities to Cyprus, many of them corresponding to existing Greek deities (for example Astarte/Aphrodite). Cyprus was cut off from trade with Greece till late in the 5th century, after which Greek intellectuals and artist moved between the two countries, influencing Cypriot art, particularly Sculpture which flourished, and jewellery. Large quantities of Greek style pottery has been found. Cypriots fought for independence several times, aided by the Greeks. Finally Cyprus was liberated by Alexander the Great in 333BC.
The death of Alexander in 323BC marks the start off the Hellenic period. His empire (and Cyprus) was fought over by his followers, Cyprus falling to the (originally Greek) Ptolomaic rulers of Egypt around 300BC. They abolished the Cypriot kingdoms and ruled through officials in Paphos. Greek was the dominant language, though the Etiocypriot language was still spoken. However gradually the influence of Egyptian art came to dominate, till the island was annexed by Rome.
My chief interest in Cyprus is with the Bronze Age and ends before these periods. However I have two Classical/Hellenic pieces.