JSFiddle - React, Tailwind, and code Playground

HTML

<div id="sidebar">
    <div class="styled-select">
        <select class="selectbox">
            <option value="">Hollaws</option>
            <option value="">Hollaws</option>
            <option value="">Hollaws</option>
        </select>
    </div>
</div>

CSS

.styled-select{
    width: 150px;
    height: 30px;
    overflow: hidden;
    background: url('http://www.simonsweb.dk/selectbox.png') no-repeat right; 
    border:0;
}

.styled-select select {
    width: 180px;
    background: transparent;
    border: 0;
    height: 30px;
    margin-top: 5px;
}