Edit in JSFiddle

<div class="container">
    <div class="msgUser">User1</div>
    <div class="content">Hey, what is going on over there? I don't understand what you are trying to say</div>
    <div class="msgTime">7:50 pm</div>
</div>
<div class="container">
    <div class="msgUser">User2</div>
    <div class="content">Huh?  Are you talking to me?   I need to write some more lines to see how this stacks and wraps</div>
    <div class="msgTime">7:48 pm</div>
</div>

.container {
    border:solid 1px #DEDEDE; 
    background:#EFEFEF;
    color:#222222;
    padding-top: 1px;
    padding-bottom: 5px;
    padding-left: 5px;
    padding-right: 5px;
    font-family: arial,sans-serif;
    overflow:auto;
}

.content{
    background:#EFEFEF;
    color:#222222;
    padding-top: 1px;
    padding-bottom: 10px;
    padding-left: 5px;
    padding-right: 5px;
    font-family: arial,sans-serif;
}

.content {
    border:solid 1px #DEDEDE;
    padding-top: 25px;
    padding-bottom: 0px;
    padding-left: 0px;
    padding-right: 0px;
}

.msgTime {
    font-size:10px;
    float: right;
}

.msgUser {
    position:fixed;
    font-size:10px;
    float: left;
}