<script src="https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.14.1/lodash.min.js"></script>

<div id="list-complete-demo" class="demo">
  <button v-on:click="add">Добавить</button>
  <transition-group name="list-complete" tag="p">
    <span
      v-for="item in items"
      v-bind:key="item"
      class="list-complete-item"
    >
      {{ item }}
    </span>
  </transition-group>
</div>

.list-complete-item {
  transition: all 1s;
  display: inline-block;
  margin-right: 10px;
}
.list-complete-enter, .list-complete-leave-to
/* .list-complete-leave-active до версии 2.1.8 */ {
  opacity: 0;
  transform: translateY(30px);
}
.list-complete-leave-active {
  position: absolute;
}

new Vue({
  el: '#list-complete-demo',
  data: {
    items: [1,2,3,4,5,6,7,8,9],
    nextNum: 10
  },
  methods: {
    add: function () {
      this.items.push(this.nextNum++);
      this.remove();
    },
    remove: function () {
      this.items.splice(0, 1)
    },
  }
})