InfoPath Dev

Hi! I have a form connected to a list within my SharePoint 2010 site. When anonymous users get to my form, they are able to add a list item to the list through the form. However, they are also able to view the list that is connected to the form. Is there a way I can disable their view permissions but still allow their add permissions.

Yes, you can add a SharePoint workflow with an Impersonation Step that removes the permissions on the newly added items. Or, you could simply copy the submitted item from your "open" list to one that is "restricted" and delete the copy from the open list.

Easy to do with out-of-box workflows.