Incognito mode in Chrome on iOS doesn't seem to be incognito
Open Chrome on iOS. Then open a "New incognito* Tab". In the incognito window navigate to google.com. Enter a search term in the web page (not navigation bar). Now open a "New Tab" and once again navigate to google.com. On the results page, if you select the search box, you will see the search term that you had entered incognito.