The drive takes about 1 1/2 hours each way (the time varies depending on which town you make your destination). The traffic around Livorno is really not a big deal so that should not be a consideration. But only you can decide if its worth a 3 hour drive to go to Cinque Terre. That being said, time wise its not much further than driving to Florence which is where most on your fellow cruise passengers will spend their day. Personally, we enjoy the Cinque Terre area, but than we also enjoy Florence, Tuscany, Umbria, Marche, etc. Its all about your personal preferences and nobody but you can make the decision.