Hate to burst everyone's bubble -- or would that be make everyone's day? -- but there's nothing going on of concern in the Caribbean Sea right now. You are seeing an upper-level low in the SW Carib. enhancing convection south of Jamaica as a result of some diffluence at upper levels. There is no low level circulation, nor is there really any turning, as evidenced in the QuikSCAT hi-resolution scatterometer winds. There are some high wind speeds, but absolutely no sign of a circulation.

Anything developing there will be 3-5 days down the line -- that upper low needs to clear out or build down to the surface, neither of which are going to happen at any fast rate, thankfully. So yes, while Jamaica and locales may see some rain and some gusty winds as a result of the convection...tropical activity isn't really likely for a few days, not there at least.