Snapchat Keep Switching Between Friends When you are Watching Stories:

• The new auto-advance feature while watching stories has been one of the new Snapchat features that has caused the most consternation among users. Instead of returning to the storey homepage after finishing one of your friends' stories, Snapchat now directs you to the next person on your list's tale.
• Simply swipe to go on to your next friend if you want to skip a storey. Pull down to return to the main narrative screen if you wish to stop the autoplay.

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