Hi @Gail Baker
Thank you for reaching out to the Microsoft Q&A Forum.
Please correct me if I misunderstood your requirement.
Based on my testing, I can create a group of 3 individuals with read permission. You can follow these steps:
-Go to your SharePoint List > Click Settings > List Settings >Permissions for this list > Click Stop Inheriting Permissions to allow custom permissions.
-Manage parents > Create Group > Create a group with the members are 3 individuals with read permission.
To your request only allow viewing rights to those who submit the New Item, I don’t know if you know the people/ group of people who submit the items or not.
If you know them, you may try my solution:
-Custom permission: Read & Add Items
Choose List items > ... > Manage access > … > Advanced Settings > Manage Parents > Permission levels > Add a Permission Level (choose options that allow read and add items) > create.
Note: Please do not edit directly on basic permission levels.
-Then create a group and grant this custom permission for this group.
If you don’t know them, I’m not sure it's impossible to meet your requirement.
From my perspective, I recommend considering Power Automate to streamline the process of setting read permissions. So, I suggest you start a new discussion in the Power Apps Community on this issue so that you can get more professional help, there will be very professional people to tell you about the steps on how to realize this function.
I'm really sorry for redirecting you to the related development team support as the moderators in this community have limited resources to check the backend information, and to get the fast and better assistance we requested for it.
Appreciate your patience and understanding. Have a great day!
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