JSFiddle - React, Tailwind, and code Playground

HTML

<input type="text" name="subject" id="subject" list="subjects" placeholder="Subject">
<datalist id="subjects">
    <option value="General Question"></option>
    <option value="Technical Support"></option>
    <option value="Billing Question"></option>
    <option value="Report a Bug"></option>
</datalist>

CSS

input::-webkit-calendar-picker-indicator {
  display: none;
}

input[list]{
   background:url("//www.bricklink.com/3D/down.png") no-repeat right -7px
}