That’s why saving an Instagram story can be a game-changer. Instagram Stories run for 24 hours after posting, so unlike a regular Instagram post, there’s a time limit, and you can’t always go back to it when you need it. 3 That’s How To Save Other People’s Instagram StoriesĦ Ways To Save Other People’s Instagram Stories.2.3 Can you save someone else's Instagram live?.2.2 Can you save other people's Instagram stories?.2.1 Can you save an entire Instagram story?.1.3 Using The Repost Stories App On iPhone.1.1 Using The Story Saver App On Android.1 6 Ways To Save Other People’s Instagram Stories.