JQuery :: Dynamically Creating / Removing Items From List

I'm trying to dynamically create and remove items from a list, it works just fine. Sort of, I can remove items, and create items, but once an item has been created, I cannot remove it again, but I can remove the items present when the page loads.

Here is my code
<div class="list">
<div class="item">
<input type="text" value="" /> <a href="" class="removeitem">Remove this item</a>
</div><div class="item">
<input type="text" value="" /> <a href="" class="removeitem">Remove this item</a>
</div><a href="" class="additem">Add item to list</a>
</div><script type="text/javascript">
// Add item to list
$('.additem').click(function(){
var template = $($(this).prev().get(0)).clone();
template.insertBefore($(this));
return false;
});
// Remove item from list
$('.removeitem').click(function(){
$(this).prev().parent().remove();
return false;
});
</script>
I can remove the 2 original items, but when I create new ones, they cannot be removed.