There have been a number of reports from webmasters who said that the “Links to Your Site” within the Google Search Console shows them no data. It’s been confirmed that this is a bug, which is why so many webmaster have been impacted, and not all of them.
Here’s a screen of what these particular webmasters may see in the Google Search Console links report:
Despite the fact this is a bug, you’d think this would be affecting everyone, but somehow, not all webmasters are being affecting. There are those who are able to see their data for some sites, but not others, such as Barry Schwartz. Google is aware of the bug, and Google’s John Mueller told Barry that the team is “looking into it.”
@rustybrick we’re looking at it, thanks!
— John Mueller (@JohnMu) August 11, 2016
Source – Barry Schwartz