How to add a scroll bar to a component in React?

const items = [...Array(100)].map((val, i) => `Item ${i}`);

const App = () => (
  <div className="container">
    <div className="left-col">
      Left col
    </div>
    
    <div className="center-col">
      <span>List</span>
      <ul>
        {items.map((item, i) => (<li key={`item_${i}`}>{ item }</li>))}
      </ul>
    </div>
    
    <div className="right-col">
      Right col
    </div>
  </div>
);

ReactDOM.render(<App />, document.getElementById('react'));

.container {
  display: flex;
  flex-direction: row;
  height: 100vh;
}

.left-col {
  flex: 1;
  display: flex;
  justify-content: center;
  align-items: center;
  background: #ddd;
}

.center-col {
  flex: 1;
  background: #aaa;
  overflow-y: scroll;
}

.right-col {
  flex: 1;
  display: flex;
  justify-content: center;
  align-items: center;
  background: #e7e7e7;
}

<script src="https://cdnjs.cloudflare.com/ajax/libs/react/15.1.0/react.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/react/15.1.0/react-dom.min.js"></script>

<div id="react"></div>