Past version of jQuery DataTables had column reordering plug-in ColReorderWithResize that also provided the ability to resize columns by clicking and dragging the point between two columns. However this plug-in was not compatible with the latest version of jQuery DataTables.
Luckily Jeff Walter updated ColReorderWithResize to make column reordering and resizing work with jQuery DataTables 1.10 and released it under MIT license.