JSFiddle - React, Tailwind, and code Playground

HTML

<div class="box">
    <div class="header">Header</div>
    <ul>
        <li>
            <a>
                <span class="icnWrap"><i class="icon-people"></i></span>
                <span class="title">Item Name Goes Here</span>
            </a>
        </li>
        <li>
            <a>
                <span class="icnWrap"><i class="icon-people"></i></span>
                <span class="title">Item Name Goes Here</span>
            </a>
        </li>
        <li>
            <a>
                <span class="icnWrap"><i class="icon-people"></i></span>
                <span class="title">Item Name Goes Here</span>
            </a>
        </li>
        <li>
            <a>
                <span class="icnWrap"><i class="icon-people"></i></span>
                <span class="title">Item Name Goes Here</span>
            </a>
        </li>
        <li>
            <a>
                <span class="icnWrap"><i class="icon-people"></i></span>
                <span class="title">Item Name Goes Here</span>
            </a>
        </li>
        <li>
            <a>
                <span class="icnWrap"><i class="icon-people"></i></span>
                <span class="title">Item Name Goes Here</span>
            </a>
        </li>
        <li>
            <a>
                <span class="icnWrap"><i class="icon-people"></i></span>
                <span class="title">Item Name Goes Here</span>
            </a>
        </li>
        <li>
            <a>
                <span class="icnWrap"><i class="icon-people"></i></span>
                <span class="title">Item Name Goes Here</span>
            </a>
        </li>
        <li>
            <a>
                <span class="icnWrap"><i class="icon-people"></i></span>
                <span class="title">Item Name Goes Here</span>
            </a>
        </li>
    </ul>
</div>

<br><br>

<div class="box box2">
    <div class="header">Header</div>
    <ul>
        <li>
            <a>
                <span class="icnWrap"><i...

CSS

.box {
    height: 100px;
    width: 120px;
    border: 1px solid red;
    overflow: auto;

    white-space: nowrap;
    width: 149px;
    text-indent: 0;
    overflow-x: hidden;
    overflow-y: auto;

}
.box2 {
    height: auto;
}

.box .header {
    background: black;
    color: white;
}


.box li a {
    position: relative;
    left: 0 !important;
    height: 28px;
    line-height: 28px;
    border: 1px solid #EEE;
    border-width: 0 0 1px 0;
    padding-left: 5px;
    font-weight: 200;
    display: block;
    color: #666;
    font-size: 13px;
    white-space: nowrap;
}
.box li a i.icon-people {
    background: url("http://www.sibcode.com/stock-icons/professional40.gif") 50% 50% no-repeat;
    background-size: 16px;
    height: 16px;
    width: 16px;
    display: inline-block;
}

.box span {
    float: left;
}
.box .icnWrap {
    width: 16px;
    padding-right: 5px;
}
.box li span {
    width: 108px;
    text-overflow: ellipsis;
    overflow: hidden;
    display: inline-block;
}







::-webkit-scrollbar {
    height: 16px;
    overflow: visible;
    width: 16px;
}
::-webkit-scrollbar-thumb {
    background-color: rgba(0, 0, 0, .2);
    background-clip: padding-box;
    border: solid transparent;
    border-width: 1px 1px 1px 6px;
    min-height: 28px;
    padding: 100px 0 0;
    box-shadow: inset 1px 1px 0 rgba(0, 0, 0, .1),inset 0 -1px 0 rgba(0, 0, 0, .07);
}
::-webkit-scrollbar-button {
    height: 0;
    width: 0;
}
::-webkit-scrollbar-track {
    background-clip: padding-box;
    border: solid transparent;
    border-width: 0 0 0 4px;
}
::-webkit-scrollbar-corner {
    background: transparent;
}