Legal Question in Civil Litigation in California

The same as if the complaint had never been filed in the first place.

The statute of limitations is determined by the underlying nature of the case. As Mr. McCormick says, the dismissal without prejudice means the underlying statute of limitations is running as if the case had never been filed.

The statute of limitations for breach of a written contract is four years. It is two years if the contract is oral. Personal injury actions are governed by a two year statute. You may want to repost with the specifics of the underlying claim for a definitive response on what statute of limitation applies.