JSFiddle - React, Tailwind, and code Playground

HTML

<select class="select">
    <option value="1">1</option>
    <option value="2">2</option>
    <option value="3">3</option>
    <option value="4">4</option>
</select>

CSS

.select {
    cursor: pointer;
    color: transparent;
    background: transparent;
    border: 0;
    
    appearance: textfield; /* CSS3 */    
    -webkit-appearance: textfield; /* Safari and Chrome */
    -moz-appearance: textfield; /* Firefox */
    -ms-appearance: textfield; /* Internet Explorer */
    -o-appearance: textfield; /* Opera */
}

.select option {
    color: black;
}