There is a SOL for civil cases in Florida, I am sure all states. There are ways around that however. I know of some cases where they used Repressed memory syndrome to get around the requirements of the SOL...
Very generally, in some circumstances, the SOL time period starts to run when the harm is known or discovered. Also I belive the argument has been used to say the SOL starts to run when the victim of sexual abuse turns into an adult...at 18.