Unforntunately or fortunately depending on your account(s), this seems to be something restricted to the "international cards" (Visa/MasterCard). The only incidents I have heard and seen on my friends accounts have been on the Visa/MasterCard authorization taking place only after the transaction was approved by the clearing house in Brazil that Capt D mentioned in this thread.
I have not seen or heard of a "local only" debit card being "skimmed". I visit these machine regularly (pretty much all of them) and skimming does not seem to be the problem. If it was skimming, I would have been nailed since I use my local card all over town frequently. But the local transactions never make it to the Brazil center, adding evidence that the problem lies elsewhere off the island.
When you call your Chase Bank service center (or any other bank), ask if this is a Jamaican problem or with the centralized Brazilian transaction center. This may signify that you know of the problem. And if the problem lies with malware in the Brazil center, the more people who know and inquire about it may make them install less vulnerable software and fix the problem.
Sorry.... my former technical customer service persona coming out in me.... (grin)