Definitely doesn't work on Android Chrome, at least.
Workng on 4.0.2 with Chrome for me. Landscape mode and then swipe.
Some keyboards on mobile have arrow keys. I know Swype does and so does swiftkey.
edit: couldn't get the keyboard to pop up on Android, but putting it into landscape mode worked swiping slides (on the stock browser with Android 4.2 [not Chrome]).