Here's a great white cage dive video from Gansbaai, South Africa. It was shot on 3 October 2014 during an expedition with Marine Dynamics.
Christian Wode posted the video and stated that they encountered 11 sharks during the trip but one female shark stood out from the others. At the 1:05 mark, you get a nice look at the very large female as she begins forcefully tugging on the bait line and whacking the cage with her tail.
The encounter with the large shark was clearly a thrill for the cage observes as can be seen in the comical selfie at the 1:32 mark.
Photo is a screenshot.