JSFiddle - React, Tailwind, and code Playground

HTML

<div class="styled">
    <select>
        <option value="1">value1</option>
        <option value="2">value2</option>
        <option value="3">value3</option>
    </select>
</div>

CSS

div.styled {
    overflow: hidden;
    padding: 0;
    margin: 0;
    width: 120px;
    border: 1px solid grey;
    background: url('http://placehold.it/22x22') no-repeat center right;
}

div.styled select {
    width: 115%;
    background-color: rgba(0, 0, 0, 0);
    background-image: none;
    -webkit-appearance: none;
    border: none;
}