JSFiddle - React, Tailwind, and code Playground

HTML

<div class="projektweb gallery">
<ul class="images-list">
 <li class="current"><img src="http://i44.tinypic.com/2dp9b7.gif" alt="" /></li>
 <li><img src="http://i43.tinypic.com/2ztacl5.gif" alt="" /></li>
 <li><img src="http://i39.tinypic.com/118j9xx.jpg" alt="" /></li>
 <li><img src="http://i41.tinypic.com/av09w2.gif" alt="" /></li>
 <li><img src="http://i41.tinypic.com/3tphf.gif" alt="" /></li>
</ul>
<div class="clear"></div>
<ul class="button-list">
 <li><a class="button prev" href="#">< Prev</a></li> 
 <li><a class="button next" href="#">Next ></a></li>
</ul>
</div>

CSS

.images-list {
 height: 460px;
 list-style-type: none;
 float: left;
 width: 460px;
 overflow: hidden;
 position: relative;
}
.images-list img {
 height: 460px;
 width: 460px;
 display: block;
}
 .images-list li {
 display: none;
}
.images-list li.current {
 display: block;
}
.clear {
 clear: both;
}
.button-list {
 list-style-type: none;
 width: 460px;
}
.button {
 float: left;
 padding-left: 10px;
 text-align: center;
}
.images-list li.animating {
 position: absolute;
 top: 0;
 left: 0;
 display: block;
}

JavaScript

$(document).ready(function() {

 // *** Constants ***
 var project = $('.projektweb.gallery');
     animationTime = 500,  // scroll time in milliseconds
     animationWidth = 480; // image width = 460 + 20px padding between images
     leftPadding = parseInt( project.find('ul').css('padding-left'), 10); // padding due to UL

 // *** Next image ***
 $('.button-list .next').click(function() {
  currentimg = project.find('li.current');
  nextimg = (currentimg.next().is('li')) ? currentimg.next() : project.find('.images-list li:first');
  
  currentimg
   .removeClass('current')
   .addClass('animating')
   .css('left', leftPadding)
   .animate({
    left: '-=' + animationWidth 
   }, animationTime, function(){
    $(this).removeClass('animating');
   });

  nextimg
   .addClass('animating')
   .css('left', (animationWidth + leftPadding) + 'px')
   .animate({
    left: 0 + leftPadding
   }, animationTime, function(){
    $(this).removeClass('animating').addClass('current');
   })

  return false;
 });

 // *** Prev image ***
 $('.button-list .prev').click(function() {
  currentimg = project.find('.images-list li.current');
  previmg = (currentimg.prev().is("li")) ? currentimg.prev() : project.find('.images-list li:last');

  currentimg
   .addClass('animating')
   .css('left', leftPadding)
   .removeClass("current")
   .animate({
    left: '+=' + animationWidth
   }, animationTime, function(){
    $(this).removeClass('animating');
   });

  previmg
   .addClass('animating')
   .css('left',  '-' + (animationWidth) + 'px')
   .animate({
    left: '+=' + (animationWidth + leftPadding)
   }, animationTime, function(){
    $(this).removeClass('animating').addClass('current');
   })

  return false;
 });

});