I would like to create an animation in jQuery or the preferred pure javascript that makes the div “hang out”. I added an animated gif that shows the animation. I don't know how to do this if I can use existing jquery easing / animation to animate javascript + css or how. I also thought about canvas, but that would limit my ability to manipulate content, etc.

RESULT:
Thanks to @peirix for help with CSS animations. Here is the result I was hoping to achieve. http://jsfiddle.net/zeg61pb7/7/
CSS
#box {
width:30px;
height:30px;
position:absolute;
top:100px;
left:100px;
text-indent: 90px;
background-color:#aaaaaa;
transform-origin: top center;
-webkit-transform-origin: top center;
-webkit-animation: dangle 2s infinite;
-webkit-border-top-left-radius: 50%;
-webkit-border-top-right-radius: 50%;
-moz-border-radius-topleft: 50%;
-moz-border-radius-topright: 50%;
border-top-left-radius: 50%;
border-top-right-radius: 50%;
}
#box:after {
position: absolute;
height: 5px;
width: 5px;
background: #aaaaaa;
top: -4px;
left: 12px;
content: '';
border-radius: 50%;
}
.dims {
position: absolute;
height: 10px;
width: 10px;
background: #aaaaaa;
top: 125px;
left: 110px;
border-radius: 50%;
-webkit-animation: movee 2s infinite;
}
@-webkit-keyframes dangle {
0% { -webkit-transform: rotate(0deg); }
5% { -webkit-transform: rotate(30deg); }
10% { -webkit-transform: rotate(-28deg); }
15% { -webkit-transform: rotate(26deg); }
20% { -webkit-transform: rotate(-24deg); }
25% { -webkit-transform: rotate(22deg); }
30% { -webkit-transform: rotate(-20deg); }
35% { -webkit-transform: rotate(18deg); }
40% { -webkit-transform: rotate(-16deg); }
45% { -webkit-transform: rotate(12deg); }
50% { -webkit-transform: rotate(-10deg); }
55% { -webkit-transform: rotate(8deg); }
60% { -webkit-transform: rotate(-6deg); }
65% { -webkit-transform: rotate(0deg); }
}
@-webkit-keyframes movee {
9% { left: 110px; }
10% { left: 120px; }
15% { left: 100px; }
20% { left: 114px; }
25% { left: 106px; }
30% { left: 113px; }
35% { left: 107px; }
40% { left: 111px; }
45% { left: 109px; }
50% { left: 110px; }
}
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