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.

Update: They’ve disabled MD-history page, if you want it, visit chrome://flags and turn on the ‘Enable Material Design’ flag.

present and material design version of Chrome history pages in one frame

Get Material Design for YouTube website in desktop Chrome right now

Expect Chrome on Windows to switch to material design with Chrome 53 release.