My v3.5.2 still has a "Links: Your blogroll" widget showing in the Admin page. Did it get put down in the Inactive area, below the main list?

The "Links" tab in the Dash still has All, Add and Categories. My motley 'blogroll' (links-collection) sprawls down the sidebar.

A common source of glitches is plugins. If you have lots, click the Plugin checkbox at the top of the table to select them all, then open the Actions box and pick Deactivate. Then click Apply, and log-out, log back in.

With a strong Links or Blogroll interest, a person might have more than one plugin or widget for links and/or blogroll, and they can then be 'fighting' and preventing normal functions.

Hope it clears up for you!