If you dont want to give permission VIEW for staff member to be able to see all customers you can assign staff member as admin to specific customer/s.

Go to the customer profile from the admin area and click on the Customer Admins tab.

Click on the assign admin button and choose the member/s you want to be assigned as admins to this specific customer.

Save the changes.

The member/s you assigned will be able to see now this customer together with the Customer menu item without having the permission for customers VIEW.