<ul data-role="listview" data-split-icon="minus" id="list">
    <li>
        <a href="#">Item Description</a>
        <a href="#" class="delbtn">remove</a>
    </li>
</ul>
<a href="#" id="addbtn" class="ui-btn">Add item</a>

var itemcount=1;

$('#addbtn').click(function() {
   var addstr = '<li><a href="#">Item Description '+itemcount+'</a><a href="#" id="delbtn-'+itemcount+'" class="delbtn">remove</a></li></ul>';
    $('#list').append(addstr);
    $('#list').listview();
    $('#list').listview('refresh');
    itemcount++;
});

$('#list a.ui-li-link-alt').on("click",function() {
   alert('delbtn clicked');
});

$('#list').on("click", ".delbtn", function() {
   alert('delbtn clicked');
});