In the current FLC system I don't see an option to download the change log of an item. As an admin I need to look into the change log frequently to thoroughly understand the root cause of the issues brought to my notice by various users. It's quite difficult to switch through various pages (especially when there are over 100+ change events logged) in the Change Log tab to get to the right information.
Having an option to export the change log of an item would ease the job of admins and other users, which gives an option to search through the log once exported.