By default, when you create a new admin, they have access to employee payslips and P60s. If you don't want an admin to have access to view other employee's payslips, it's easy to disable.
📎NOTE: An admin can either view all employees' payslips or no employees' payslips.
Click on your name or email address in the top-right-hand corner, then click Settings.
On the settings menu, click Permissions, then click Admin.
On this page are listed all the current employees with admin rights.
Next to the relevant user, under View Employee's Payslips & tax documents, deselect the check box.
Click Save.
📎NOTE: An admin can only control this access if the main admin enables Manage access to payslips & tax documents to other admins.