Pocket users on iPhone know this. Saving links from Facebook is not easy. I've finally found 20 minutes of free time and came up with two ways to do that using IFTTT:

1) easy to setup but less convenient to use:

You'll have to "share" a link and use #pocket tag on it. You probably don't want to spam all your friends with all the links you save so you'll also have to change the privacy settings of this post to "only me".

https://ifttt.com/recipes/336297-save-links-from-fb-post-tagged-pocket-to-pocket

2) bit difficult to setup but more convenient to use

You'll have to:

1/ create a Facebook Page and call it something like "my pocket links".

2/ unpublish (not remove!) the page so only you'll see it's content

3/ apply the IFTTT receipt: https://ifttt.com/recipes/336296-save-links-from-facebook-to-pocket

4/ "share" a link on this page to have it saved to Pocket

Please notice IFTTT runs a receipt approx once per 15 minutes.