What is in a Jamaican Chocolate Cheesecake?
While I've never experienced this cheesecake personally and the photo doesn't show anything at all "Jamaican" about it, I'd hazard a guess that the recipe involves rum.  The traditional go-to cake in Jamaica is a black fruit cake.  It involves soaking dried fruit in rum for an extended period of time and making liberal use of molasses for color.

If I were making it myself, I'd soak some dried fruit such as dates in rum for a few days.  Then I'd add rum to the cheesecake recipe and I'd chop the dates fine to put on top along with the shaved chocolate.