Максим

<li class="color-variant__choose color-variant__choose_<?=$value?>" 
    v-on:click="getVariant('12345')"
>
</li>

methods: {
      getVariant: function (dataId) {
        $.getJSON(url + dataId, function (json) {
          itemlist.json = json;
          console.log(itemlist.json);
      });