Office 365 - how to get a report of Office installs per user?
As of 09/11/2018, You can see it in the report section in admin center.
Use the link below,
https://portal.office.com/AdminPortal/Home#/reportsUsage/OfficeActivations
or go to
Admin Center-> Home -> Usage -> Microsoft Office activations
The chart didn't work when i tested it, but you can export detail in csv file where you will find activation details per user per type of devices (Mac, Win, iOS, Android).
EDIT: See Ian's answer...the portal as of 6/9/2016 allows for this now.
FYI, at the moment according to MS Support there isn't a way to create or pull such a report. If this changes in the future I'll edit this answer...or if someone else finds that it became possible be sure and either edit my answer or post a new one.
They now offer a "Microsoft Office activations" report in the admin portal. It provides per-user data but still fails to list the names of activated hosts/devices. Device/host names with activated installs only appear in the user data area--admins can now see this. (No improvement in the "new" admin center either.)