Pocket generates RSS feeds of your data, and you can subscribe to these feeds using an RSS reader.
If you have a Pocket username (that's not an email address), you can also create the feed URLs yourself using the syntax below:
All Items (My List + Archive)
Note: RSS feeds are protected by password by default, but not all RSS feed readers support this. To disable this protection and access your RSS feed from any feed reader, click the "Turn off RSS Feed password protection" link here:
Pocket: Privacy Controls