This smartwatch, which is due out later this year, runs Tizen on a 2" screen. I don't know that very many people are going to want to browse the web on such a small screen, but the Gear S's 3G connection and Opera's cutting edge data compression tech does make this a serious possibility. Opera's tech can shrink a webpage by as much as 90%, making 3G browsing both cheap(-er) and fast.
What's more, the app also offers custom interface which was developed for small screens. For example, the website shortcuts on Opera Mini’s Speed Dial appear as large buttons, enabling Gear S users to reach their favorite sites in a single tap.
There's also a "Smart Page that aggregates social updates plus the latest news, and the users can save webpages for offline viewing (this could prove useful for maps and directions.) Opera Mini for the Gear S even has a private browsing mode for those queries which are too secret to share.