California Code, Code of Civil Procedure - CCP § 348

To actions brought to recover money or other property deposited with any bank, banker, trust company, building and loan association, or savings and loan society or evidenced by a certificate issued by an industrial loan company or credit union there is no limitation.

This section shall not apply to banks, bankers, trust companies, building and loan associations, industrial loan companies, credit unions, and savings and loan societies which have become insolvent and are in process of liquidation and in such cases the statute of limitations shall be deemed to have commenced to run from the beginning of the process of liquidation; provided, however, nothing herein contained shall be construed so as to relieve any stockholder of any banking corporation or trust company from stockholders' liability as shall at any time, be provided by law.