Result

検索アイコンから時計アイコン（ローディング）に遷移する、みたいなやつです
JSというよりCSSがメインになってますが・・

jQuery

$('.search').on('click touch', function(e) {

    var self = $(this);

    self.addClass('loading');//アイコンをクリックしたらladingクラスを付与
    setTimeout(function() {
        self.removeClass('loading');//本サンプルでは便宜上時間で動作停止
    }, 3000)

});

css

.search {
  width: 20px;
  height: 20px;
  border: 2px solid #fff;
  border-radius: 50%;
  position: relative;
  margin: 1px 3px 3px 1px;
  cursor: pointer;
}
.search:before, .search:after {
  content: '';
  display: block;
  position: absolute;
  transform-origin: calc(100% - 1px) 50%;
  height: 2px;
  border-radius: 1px;
  background: #fff;
  bottom: calc(50% - 1px);
  right: calc(50% - 1px);
  -webkit-backface-visibility: hidden;
}
.search:before {
  width: 8px;
  transition: transform .4s ease;
  transform: rotate(45deg) translateX(16px);
  animation: none;
}
.search:after {
  width: 6px;
  opacity: 0;
  transform: rotate(45deg);
}
.search.loading:before {
   animation: rotate 2.1s linear forwards .45s, move .3s linear forwards 2.7s;
   transform: rotate(45deg) translateX(0);
}
.search.loading:after {
  opacity: 1;
  transition: opacity 0s ease .4s;
  animation: remove 0s linear forwards 2.6s;
}

@keyframes rotate {
  100% {
     transform: rotate(405deg) translateX(0);
  }
}

@keyframes remove {
  100% {
    opacity: 0;
  }
}
@keyframes move {
  100% {
    transform: rotate(45deg) translateX(16px);
  }
}

html

<div class="search"></div>

via

Search loading