Models had the low intensifying at a faster pace earlier as it passed through. I'm guessing it'll be sub advisory for most for like 1-2hrs, nothing noteworthy.
Additionally with the storm making landfall in W Jamaica that'll probably cause even greater rainfall and orographic lift on its east side, not to mention the entire island gets 20"+ amounts.
NE movement ideal for surge too
A north to NNE turn will commence very shortly. There's no ridging left to keep this moving west. Tourist heavy Montego Bay will likely get eastern eyewall
At best some moisture will be pulled in. There's no big block to the NE to prevent this from going OTS.
But a strong closed low could pull it further west as it departs thus pulling in moisture