NEW : Cayman Island residents flee homes for shelters , fortified buildings . Storm has 115-mph winds ; storm - surge flooding occurred in Caymans . Evacuations under way in state of Florida ; final advisories issued . Projected path to steer hurricane away from the mainland .
NEW : Cayman Island residents flee homes for shelters , fortified buildings . Paloma has 115-mph winds ; storm-surge flooding expected in Caymans . Evacuations under way in parts of Cuba ; safety advisories issued . Projected path would steer hurricane away from U.S. mainland .