It is possible to visit Cinque Terre on your own by train from Livorno cruise port. Be sure to calculate enough time to do it. Only the train ride from Livorno Centrale to the Cinque Terre will already take between 70 and 100 minutes. Also travelling from the cruise port to the train station will take some time. Trains don't run very frequent. You can opt for a direct train between Livorno and one of the 5 villages of the Cinque Terre. Or take a train from Livorno to La Spezia and from there take a local train. You can check the train timetabel from Livorno to the Cinque Terre here.
TIP: In the station of La Spezia you can buy a Cinque Terre day pass for € 10 per person. This is valid for unlimited train travel (from validation till midnight) between La Spezia and the Cinque Terre villages + various other benefits.
How do I get to the train station from the cruise port in Livorno?
Livorno Centrale train station is too far from the harbor to get there on foot. You can take a taxi for approximately € 20 per taxi (4 persons one way) or you opt for the combination shuttle bus and public transport. The latter is the most popular option and it's very simple. Here are the steps to take.
Take the shuttle bus from your cruise ship to the stop at the back of Piazza Grande.
At Piazza Grande, take bus N° 1 to the station. The bus runs every 7-10 minutes and costs € 1,20 per person (one way). Make sure that you don't take the bus on the side of Mc. Donalds, because it goes in the opposite direction. Take the bus at Piazza Grande C. bus stop at the center of the square. The journey takes 10 minutes.
TIP: Buy your bus ticket in advance at the Tourist Office, at ticket machines or at a Tabacchi kiosk . On the bus you usually pay € 1 more.
Take the train to La Spezia or one of the 5 villages