JSFiddle - React, Tailwind, and code Playground

HTML

<select>
    <option>Option 1</option>
    <option>Option 2</option>
</select>

CSS

select {
  appearance: none;
  -moz-appearance: none;
  -webkit-appearance: none;
  text-indent: 0.01px;
  text-overflow: ""; 
}

option {
    background: transparent url(http://www.clinicalflow.com/skins/common/icons/ed_ins_img.png) no-repeat left center;
    padding-left: 20px;  
    width: 200px;
}