Let’s not beat around the bush; the incognito mode built into Google Chrome for iOS is used for one thing, and that’s browsing websites that you wouldn’t want others to know you were browsing. But you should stop it — right now.
It appears that the latest release added a nasty bug that causes all of those sordid searches you make in incognito mode to be shared with the regular browser window — as well as Google Chrome on your Mac or PC if you have them all set up to sync with each other.