I think you first need to ask yourselves why the agent working from home is raising new PII concerns. Identifying the underlying reason for concern will help you identify the appropriate mitigation.
If you do not trust your agent to have PII access in the first place, you need to consider measures like you are suggesting even when they are in the office.
If you do not trust the house, you need to figure out how to enhance that trust (e.g. send corporate laptops home; use VDI solutions; enable MFA on your corporate mobile-VPN solution; provide corporate network assets; purchase home shredders, etc.).
If you can not trust agents to work with less supervision, it is time for staffing changes.
PII protection is also a concern of risk management, public relations and legal departments. You might consult with them regarding the appropriate protective levels for your organization.