I have two friends that have gotten, and are already over the symptoms of, this virus.
They're alive and well. If you're healthy, and you're responsible about seeking medical treatment when feel you need it, then you'll be fine.
Two friends are an anecdote, not a statistic. That said, I wouldn't stay away from the Caribbean just because of chikungunya.
It should be noted that age does play a factor in how quickly you recover fully from the disease. Younger people recover in 5-15 days. Middle aged and older and you could be talking months to fully recover. The fever is relatively short-lived, but the joint issues can linger.