That would be quite an interesting feature and very useful.  I don't have the functionality for that yet, but it wouldn't be difficult to add.  Let me bounce an idea off you on implementation:

I could have a separate "DockMenu Control Panel" (or similar) that has a checkbox similar to the DNN Forums "Notify me for this thread" where, default is to be checked and it'll show the DockMenu to the user and if they uncheck it, any page that that particular module is on (so based on module id) it'll not show it to that particular logged in user.

Either that, or the module itself can have that checkbox available and in module settings it'll have a setting that says "allow user disable" and when that is turned on in the settings, it'll render the checkbox within the module container and let the user choose whether they want the DockMenu to show or not.

Let me know if either of those options make sense (i'm leaning to option #2) or if you have alternative suggestions on implementation and I can get that in there *soon*.  (probably not until next week because of holiday here in the USA and lots of family to visit in relation to the holiday).

Sorry for the slow reply, been a busy week. 

You can already set the menu to be fixed by using the fixed point alignment instead of docking (it allows you to set an x and y coordinate to attach it to) -- likewise, you could accomplish it by docking it within a module container (another available option) and make sure the placement is high enough on your page in a content pane.

I like your suggestion about having it "slide" off the screen to hide and thought about that when I was originally creating the module.  I'll have to look into how to accomplish that though probably not in this minor release that I'll work on to support hiding in general.

I also like your suggestion about forcing the label to always show and will have to see if that is something I can accomplish using the library I am including (I am not the author of the javascript library used to drive the dockmenu).  I have an idea how that can be done but will have to test it's feasibility.

Hopefully I have some time soon to get this show/hide feature into the module, it has been an insane week and doesn't show any signs of letting up yet.

Thank you for your suggestions!