JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="http://ajax.googleapis.com/ajax/libs/jqueryui/1.8.4/themes/ui-lightness/jquery-ui.css">
<div id=box class=q_one></div>

CSS

#box {
    width: 100px;
    height: 100px;
}

.q_one {
    background: red;
}
.q_two {
    background: blue;
}
.q_three {
    background: green;
}

JavaScript

var classes = ['q_one','q_two','q_three'],
        i = 0;
    
    $('.q_one').click(function(){
        $(this).removeClass(classes[i])
               .addClass(classes[ i = ++i % classes.length ]);
    });