Hi,
From my experience, a couple of things to check.
Have you got List Own Only set in the permission tab for frontend?
Have you created any form data for the user?
Have you set permissions for the user. Go to the view, Permissions tab, Users then check Users [Edit} found in Users, if view / create or edit are not set, then they want have access.
Here
is an explanation, how to activate List own only.
If you enable the Column 'author' in the view advanced options you'll see the owner of each record in the listview.
Let me know the result!
Regards,
Mirko