DraggableViews questions If I followed the README.txt in the module and created a view with a sorting field as instructed, should I be able to drag the items around with a four-way cursor, and then Save? I do see the Save button, but no ability to drag...

Also, is there a way to have DraggableView come into play for a view which uses display mode (teasers) rather than fields? (I do have my own CCK field named "weight", which I could make use of and get away without DV, so it's just a question of how to make admin UI easier).
Yes, you should get the four-way cursor and be able to drag stuff around. My own experience has been that DW for D7 is quite buggy. We use a particular commit in NodeStream's makefile, you could try to work from that one, as we do our best to keep well working versions in that make file.
I don't think you can use a View mode, but must use fields. I could be wrong though.