JSFiddle - React, Tailwind, and code Playground

HTML

<div class="chat">
    <div class="chat__inner">
        <div class="messages">
            <p>Message 1</p>
            <p>Message 2</p>
            <p>Message 3</p>
            <p>Message 4</p>
            <p>Message 5</p>
            <p>Message 6</p>
            <p>Message 7</p>
            <p>Message 8</p>
            <p>Message 9</p>
            <p>Message 10</p>
        </div>
    </div>
</div>

CSS

.chat {
    position: relative;
    height: 200px;
    width: 200px;
    border: 1px solid #000;
    overflow: hidden;
}

.chat__inner {
    position: relative;
    bottom: 0;
}

.messages {
  display: block;
/*    overflow: auto;
    -webkit-user-select: none;
    -webkit-overflow-scrolling: touch;
    height: 100%;
    margin: auto;
*/}