If your Chrome browser doesn't auto-update even it ask you to restar your browser in order to complete an update, here's what you have to do to fix it.
How can you tell if you're affected by this bug? Just compare your Chrome version before and after the update restart process. If the version number is the same, you'll need to take things into your own hands.
You'll need to browse into Chrome's folder - in my case:
(you can find that by right clicking on the Chrome desktop shortcut and seeing its properties)
You should find two exe files in there: chrome.exe (the current version), and chrome_new.exe the new version that doesn't "stick".
We'll need to give it a hand, so... with Chrome running, go to the about box, and before you presse restart chrome to apply the update, rename chrome.exe to something like chromeold.exe and only then click the restar chrome button in the about box.
That should take care of the problem, and you'll finally be using the latest Chrome version.
... Just keep in mind you'll probably need to perform these steps again when there's another update...