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Tweetium and Internet Explorer
Those who use Twitter heavily will like this use of snap view. It works with the official Twitter app as well as Tweetium, the author's favorite client.
Keeping Twitter running in a narrow pane on the left and Internet Explorer on the right is my preferred method. With both apps running side-by-side, tapping a link in a tweet on the left opens the page in the browser on the right. No need to leave the Twitter client and reopen it later as both apps stay open through the process.
Evernote and Internet Explorer
I use Evernote for my writing work, and it's often accompanied by heavy web research. Snap view makes this a useful function by having both Evernote and Internet Explorer open at the same time.
This makes it easy to take notes while looking at the web source, including hyperlinks.
Mail and other apps
Having Mail open in a narrow pane allows keeping an eye on incoming email while doing other things. I find this particularly useful having Mail open while using Internet Explorer.
While clicking a link in an email will automatically open the browser (called auto-update by Microsoft), already having the browser open will respect the window size I've set. Auto-update opens the browser in a half-screen pane which then must be adjusted if not optimal.
I usually have the browser open anyway, so this is a good configuration for me.
Using Mail in snap view is certainly not limited to the browser, I regularly use it with other Metro apps too. The key is letting me keep up with email in case something important comes in.