You could just add a click event to each image and some jQuery to remove the image from the list. There is no need to write a separate plugin. Syntax below might be wrong. I am writing this on my phone so no way to check. But you get the picture (sic).
<script type="text/javascript">
$(function() {
$("div.jCarouselLite > img").click(function(){
$(this).hide();
});
});
</script>
<div class="jCarouselLite">
<ul>
<li><img src="image/1.jpg" alt="" width="150" height="118"></li>
<li><img src="image/2.jpg" alt="" width="150" height="118"></li>
<li><img src="image/3.jpg" alt="" width="150" height="118"></li>
<li><img src="image/4.jpg" alt="" width="150" height="118"></li>
<li><img src="image/5.jpg" alt="" width="150" height="118"></li>
<li><img src="image/6.jpg" alt="" width="150" height="118"></li>
<li><img src="image/7.jpg" alt="" width="150" height="118"></li>
<li><img src="image/8.jpg" alt="" width="150" height="118"></li>
<li><img src="image/9.jpg" alt="" width="150" height="118"></li>
<li><img src="image/10.jpg" alt="" width="150" height="118"></li>
<li><img src="image/11.jpg" alt="" width="150" height="118"></li>
</ul>
</div>