DraggableViews not displaying drag-handles
All "draggable" tables in Drupal have a switch that turns the draggable javascript interface off, and allows you to order the items using a less interactive "ordinary" form with fields to enter weight numbers and a submit button. 

There is a link, usually at the top right of the table, that says Hide row weights if you have the draggable option turned off, and Show row weights if you have it on. 

Look for that link, it's probable you just have it turned off. 

Once you make the switch it will be "remembered" in a cookie so it will apply for all the draggable tables on the site. Maybe you changed it on some other table, Drupal remembered it, and you're simply seeing the non-draggable case in your draggable views. 

I guess this brings up to the surface that "Draggable views" isn't quite an accurate name, because it works even without dragging. Maybe it should be called "Order views" or something similar, but javascript tools usually win that race and this example illustrates it. 

I hope this is the issue here. Nothing broken, just a temporary UI blindspot, we've all been there :)