JSFiddle - React, Tailwind, and code Playground
HTML
<link rel="stylesheet" href="http://code.jquery.com/mobile/1.3.0/jquery.mobile-1.3.0.min.css">
<script src="http://code.jquery.com/jquery-1.8.2.min.js"></script>
<script src="http://code.jquery.com/mobile/1.3.0/jquery.mobile-1.3.0.min.js"></script>
<ul data-role="listview" data-autodividers="true" data-filter="true" data-inset="true">
<li data-icon="check"><a href="#">Adam Kinkaid</a></li>
<li data-icon="check"><a href="#">Alex Wickerham</a></li>
<li data-icon="check"><a href="#">Avery Johnson</a></li>
<li data-icon="check"><a href="#">Bob Cabot</a></li>
<li data-icon="check"><a href="#">Caleb Booth</a></li>
<li data-icon="check"><a href="#">Christopher Adams</a></li>
<li data-icon="check"><a href="#">Culver James</a></li>
</ul>
JavaScript
$("li").tap(function() {
//Alert the old icon
alert($(this).jqmData("icon"));
//Toggle
$(this).jqmData("icon") == "false" ? $(this).jqmData("icon", "check") : $(this).jqmData("icon", "false");
//Alert the new icon
alert($(this).jqmData("icon"));
});