Can you stop embedded Flickr Images from following their link if the user clicks the image, thus leaving your Drupal website?
For now I have completely disabled Flickr as well as Media_YouTube and Media_SoundCloud in favor of using the Media_Oembed Module. Media_Oembed handles the all of the above Embed needs (and more).  In Media_Oembed, the Flickr Module does not out-link.  Probably a better overall solution in general.

  There are two OEmbeds!! At first, I tried Oembed, which is still in beta (as of 2015-06-03) and I could not get it to work; I don't know what the problem was, but Media_oEmbed seems to work fine.