Did you try it? Did you ask the author if there are any issues/problems
using it with jQuery Mobile?
UI widgets made for jQuery or jQuery UI will often/usually have
some problems or need some workaround to use with jQuery Mobile. But
this type of plugin usually should work with no problem. It
doesn't deal with the UI (at least not display) and neither jQuery
nor jQuery Mobile get involved with local storage, and so no conflict there.
If you like what it does, try it.
jQuery Mobile isn't a library distinct from jQuery. It's an
add-on that requires jQuery, so you can use many jQuery plugins.