F5 ASM - Client Session Record

You can keep a record of all pages requested, or even track mouse movement, but there's no possibility to take a video capture of client activity.

On the other hand, if you already track the mouse movement, and page clicks, what additional value would you get from video anyway? To log all pages requested, you can use BigIP remote syslog (HSL); to track mouse movement, application-injected javascript code would work the best.

Also note that extensive activity tracking is not what F5 BigIP is best suited for. If you need good malware to watch over your customers, try Google Analytics.