You mean "What are Taino names?" and we know that they were relatives of the Arawak people, speaking a Maipurean language. Their population, originally very large, declined rapidly and many scholars take the view that they are racially extinct today, with only mixed-race (mestizo) descendants remaining.
Only the names of male and female chiefs were recorded historically, with the males (cacique) having such names as Amanex, Cacimar, Guacabo, Güaraca, Agüeybaná, Urayoán, Guarionex, Urayoán, Macuya, Mabodomaca, Inamoca and Orocobix.
Female chiefs (cacica) had names such as lguanamá, Anacaona and Casiguaya.
It is likely that the names of ordinary tribespeople were the same or similar to these examples.