JSFiddle - React, Tailwind, and code Playground

HTML

<script src="//maxcdn.bootstrapcdn.com/bootstrap/3.2.0/js/bootstrap.min.js"></script>
<link rel="stylesheet" href="//maxcdn.bootstrapcdn.com/bootstrap/3.2.0/css/bootstrap.min.css">
<div class="styled-select">
     <select class="form-control">
          <option value="1">Option 1</option>
          <option value="2">Option 2</option>           
     </select>  
</div>

CSS

.styled-select {
   width: 245px;
   height: 34px;
   overflow: hidden;
   background: url(http://cdn1.iconfinder.com/data/icons/cc_mono_icon_set/blacks/16x16/br_down.png) no-repeat right;
   }

.styled-select select {
   background: transparent;
   width: 110%;
   padding: 5px;
   font-size: 16px;
   line-height: 1;
   border-radius: 0;
   height: 34px;
   -webkit-appearance: none;
   -moz-appearance:none;
   }