It was once believed that cells grown in laboratory tissue cultures were essentially immortal. That is, as long as all of their needs were met, they would continue dividing forever. However, it has been shown that normal cells have a finite reproductive limit. A human liver cell, for example, divides 60 times and then stops. If such a cell divides 30 times and then is put into a deep freeze for months or even years, it remembers where it stopped dividing. After thawing, it divides another 30 times -- but no more.
If the information above is accurate, a liver cell in which more than 60 divisions took place in a tissue culture CANNOT be a normal human liver cell that had been frozen after its first division and afterward thawed.