This is working out great but I can't seem to get the mobile version to acces submenus. 

The main menu item shows up but I can't click it or access any of the items below it.  Is this an issue with mobile joomla or is it the way that I have it set up?

Did you ever get a reply on this subject? I have the same problem.

I have a horizontal menu across the top. The Top level menuitems are MENULINK(s) to the first child menuitem. In Mobile Joomla, all of my top-level menus are showing and I can access the articles they are attached to. However, once in that article, I can only see the breadcrumbs and the article itself. I can't see the 'submenu' items that were also listed under the top menu. Take a look:

Site Link

Nope, no reply

Were you able to figure it out at all? I have tried creating multiple menus, setting them to only show up when the main top menu shows... nothing. I can't seem to get it to work at all.

I don't see anything on it in the documentation. I'm beginning to think that it only works with Top-Level menuitems.

Mobile menu modules that is installed with MobileJoomla doesn't support subitems in menu (the only exception is iPhone menu module). But you can use default joomla's module to display menu in the same way as on desktop.

Visit: http://www.mobilejoomla.com/forum/3-general/4090-definitive-walkthrough-for-submenus.html#4090