After several weeks of trying to use Mobile Safari for reviewing items in the review queue, there is a very strong chance that some noticable percentage of review tasks will fail when using mobile safari as the browser.
The initial drawing of the review tools looks fine and the rendering of whatever content strongly matches the desktop Safari browser, but tapping the blue oval controls often fails to advance the review to the next item.
What's a bit odd, is that the buttons work most of the time, perhaps 5% to 8% of the time they fail to register (it feels like the tap event is captured, but something fails.) I've even turned on debugging and tried to look for console errors other problems with mobile Safari and I was able to reproduce the error when I took the above screen capture.
Pressing the Approve button wouldn't move on to the next event - even trying it several times. Tapping the reload page button in the address bar then shows that the action was approved (35 seconds ago - which is clearly false since I tapped approve well over 5 minutes ago)
Tapping next returns me to the item I just reviewed and lets me decide again to Approve/Review/Improve/Delete/Skip that same item. It doesn't matter if the review queue is truly empty at this point or there are other items to review - once this fails, that review item seems hung on that one item for my user on that browser for an hour or more.
If there are server logs to correlate - I reproduced this error on https://apple.stackexchange.com/review/suggested-edits/18727 between 11:20 and 11:30 UTC today.
Details - the problem is observed on iPad (retina 3rd generation and non-retina mini) as well as on iPhone - all running iOS 6.0, 6.0.1 and 6.0.2 - release versions. I'm not seeing it hang up on the desktop version of Safari at all in the past few months.