Selected answers from the Dumb SEO Questions Facebook & G+ community.
Alan Bleiweiss: Not sure about "with A/B testing". You can, however, set up click tracking with Google Analytics. https://support.google.com/analytics/answer/1136920?hl=en
Neil Cheesman: thanks - the problem with Wordpress is that for example on an image link the "onclick="trackOutboundLink" seems to get removed
Alan Bleiweiss: Ah that`s not good. Takes it past my experience or ability to help though. :-/
Leighton Ward: You can get an app like sumome and use a heatmap if you just want to track clicks on the page
Jeremy L. Knauff: I`m not aware of a plugin that does what you`re asking, but writing one should be fairly straightforward if you understand WP hooks and PHP.
David Kutcher: Create a JQuery link-click listener that grabs the unique id of the link being clicked and sends the event to Analytics.
Jody Nesbitt: Neil, this should do it https://en-gb.wordpress.org/plugins/pretty-link/
Alan Bleiweiss: Dustin, Jeremy, or someone else in the group with WP experience will hopefully be able to help you.