You can try looking in your Spotify history or the activity section. Sometimes, it's stored there and you can access and replay it.
Well, one way could be to check your Spotify notifications. Sometimes, there might be a link or option to watch the story again from there. Also, look for a 'recently viewed' or 'watched' section within the app.
The easiest way is to search for the specific story or the artist who posted it. Then, you might find an option to replay it. Another option is to check your Spotify settings to see if there are any preferences related to viewing past stories.