Atualmente, não há planos para oferecer suporte ao Gears no Chrome / Chromium, os desenvolvedores mencionaram que eles usarão recursos de armazenamento local HTML5 em vez do Gears.
No current plan to implement this.
Gears overlaps with a lot of HTML5 (since many HTML5 features are derived from Gears). Current plan is to skip Gears and go directly to HTML5 implementations within Chrome.
(Getting Gears as is to work in Linux Chrome sounds like a lot of effort, for various reasons I don't fully understand. Depending on how quickly the HTML5 stuff happens, we may revisit this decision.)