I'm accustomed to being able to move open apps on the taskbar to other locations. I like to have open apps in a familiar order every day. Since I've been able to do that in other distros, and since I saw the cursor change when I tried to drag a running app to another location on the taskbar, it seemed to me that I ought to be able to do that here, since it seemed to be built-in, since the cursor was changing. But apparently that's not the case. I was hopeful, but no cigar, I guess.
Thanks, everyone, for your responses and information. Resolved, but not for my purposes.