Both the Phone List and Contacts areas are available under the 3-dot menu on the top right when in the People application.

Phone List
The idea here is to allow any user to export users' contact information, should this be needed, e.g for record keeping or to assist an event taking place, like a conference.
If any fields have a special view permission on them, they will only appear here to users with appropriate rights to see them.

Contacts
Any user can create personal contacts that are only for them to view and act as a phone book. These could be external suppliers, contractors or clients.
Ensure the 'Owner' permission has been used to keep the contact hidden from everyone else.

Any user can also create contacts that can be shared with other users/roles/groups to either view only or allow them to edit. e.g 'All registered' or specific Roles or Groups

People administrators can review the contacts shared with everyone to check they are appropriate, edit them or remove them as needed.

Contacts can also be imported from CSV or vCard if your company has this already created:

