When you arrive in Civitiveccia, it is only about a 10 minute walk to the entrance to the port. When you get to the port entrance, there is a free shuttle bus to take you to the cruise terminal.
When we were there last month, I don't recall seeing any taxis at the train station, but I wasn't looking for them either. I had absolutely no problem rolling my suitcase on the sidewalk from the train station to the port entrance. Unless you have a lot of luggage, you should be able to manage it OK without a taxi.
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