JSFiddle - React, Tailwind, and code Playground

HTML

<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css" rel="stylesheet" integrity="sha384-BVYiiSIFeK1dGmJRAkycuHAHRg32OmUcww7on3RYdg4Va+PmSTsz/K68vbdEjh4u" crossorigin="anonymous">

<div class="row block well" id="section3">
        <h1 style="text-align:center">Client Testimonials</h1>
        <div class="col-md-3"></div>
        <div class="col-md-6 text-center">
            <p id="quote">Delighted with my experience. Easy and comfortable. I have the utmost confidence in Scott and trust him to help me find the right vehicle for my self, family members and friends I have referred. I just purchased my 4th car from him.<br>
                <button class="buttonz" onclick="cycle()"><span>More </span></button>
            </p>
        </div>
        <div class="col-md-3"></div>
    </div>

CSS

.buttonz {
  display: inline-block;
  border-radius: 10px;
  background-color: #b5cfc1;
  border: none;
  color: #FFFFFF;
  text-align: center;
  font-size: 28px;
  padding: 20px;
  width: 200px;
  transition: all 0.5s;
  cursor: pointer;
  margin: auto;
}

.buttonz span {
  cursor: pointer;
  display: inline-block;
  position: relative;
  transition: 0.5s;
}

.buttonz span:after {
  content: '\00bb';
  position: absolute;
  opacity: 0;
  top: 0;
  right: -20px;
  transition: 0.5s;
}

.buttonz:hover span {
  padding-right: 25px;
}

.buttonz:hover span:after {
  opacity: 1;
  right: 0;
}