Google has already enabled material design for Chrome on the dev channel, most parts of the browser like downloads, PDF viewer have got MD, recently, Chromium team has turned on MD for history page. You can see it in action on developer channel by visiting chrome://history page or by pressing Ctrl+H.
New history page is different to old page, offers History, Synced tabs and Clear browsing data links on the left side. Check the screenshot below of current and material design enabled history pages of Chrome side by side for a comparison.
Get Material Design for YouTube website in desktop Chrome right now
Expect Chrome on Windows to switch to material design with Chrome 53 release.
