As explained in this issue for Webform: http://drupal.org/node/336150#comment-6188222 ...

webform_table_element overrides Webform's built in date theming

... making it impossible to use Webform's "optional day" patch (now in dev).

I made this a task for developers of this module to keep in mind, but because this didn't look like a very easy thing to fix, I helped develop a hack to make it work the same in the mean time.

This will work for any version of Webform Table Element, as long as the dates are displayed as "xx/xx/xx"

1) display:none; the Day component. The problem is that the Day still shows up in the Results.
2) Add this jQuery snippet to a block in the administration theme for the results pages using wildcards:

jQuery(document).ready(function(){
	function fixDay () {
		jQuery("td").html(function(i, str) {
			return str.replace(/\/\d{2}\//g, "/");
		});
	}
    fixDay();
});

So now, for example: the client will select the month and year, but instead of the results showing 08/29/2012, it will now render as how they selected it: 08/2012.

Let me know if this helped you.