When a Referrer enters details in a form I have provided is this information stored and what security is in place who gets to see this information

It get saved in your submission page https://www.jotform.com/help/269-How-to-View-Form-Submissions. 

Concerning about form security, all your forms are served across protected 256 bit SSL (Secure Socket Layer) connection that uses a SHA256 Certificate.

Jotform is compliant in PCI, GDPR and HIPAA. You can find more information about Jotform security in this page https://www.jotform.com/security/.

Let us know if you have any questions or if you need further assistance.