<html>
    <head>
        <link rel="stylesheet" type="text/css" href="//cdn.jsdelivr.net/jquery.slick/1.6.0/slick.css"/>
        <link rel="stylesheet" type="text/css" href="//cdn.jsdelivr.net/jquery.slick/1.6.0/slick-theme.css"/>
        <script type="text/javascript" src="https://code.jquery.com/jquery-1.12.0.min.js"></script>
        <script type="text/javascript" src="//cdn.jsdelivr.net/jquery.slick/1.6.0/slick.min.js"></script>
        <style>
            #s {
                border: solid 1px red;
                width: 640px;
                height: 480px;
            }
            .mycustomimg {
                width: 350px;
                height: 150px;
                background-repeat: no-repeat;
                transition: opacity 0.4s 0.5s ease-out; /* delay to be same as slick speed */
                opacity: 0;
            }
            .mycustomimg.is-lazy-loaded {
                opacity: 1;
                background-image: url('http://placehold.it/350x150');
            }
        </style>
    </head>
    <body>
        <div id="s">
            <div>
                <h3>1</h3>
            </div>
            <div>
                <h3>2</h3>
                <div class="mycustomimg lazy-bg-img"></div>
            </div>
            <div>
                <h3>3</h3>
            </div>
        </div>
        <script>
            var lazyBgImg = function( el ) {
                var lazyBgImgs = $(el).find('.lazy-bg-img');
                lazyBgImgs.each(function(i) {
                    var el = $(this);
                    if ( !el.hasClass('is-lazy-loaded') ) {
                        el.addClass('is-lazy-loaded');
                    }
                });
            }
            var s = $('#s').slick({
                speed: 500,
            });
            s.on('beforeChange', function(event, slick, currentSlide, nextSlide) {
                if ( currentSlide !== nextSlide ) {
                    lazyBgImg( $(slick.$slides.get(nextSlide)) );
                }
            });
        </script>
    </body>
</html>