$('.element').bind('oanimationend animationend webkitAnimationEnd MSAnimationEnd', function() { 
  //Do something
});

Basic example:

.element {
  height: 50px;
  width: 50px;
  background: red;
  display: block;
}

.element.is-animated {
  animation-duration: 3s;
  animation-name: WuTangClan;
}

@keyframes WuTangClan {
  0%, 20%, 50%, 80%, 100% {
    transform: translateY(0);
  }
  40% {
    transform: translateY(-30px);
  }

  60% {
    transform: translateY(-15px);
  }
}
$('.element').click(function(){
  $(this).addClass('is-animated');
});

$('.element').bind('oanimationend animationend webkitAnimationEnd MSAnimationEnd', function() { 
  //Do something when the animation is completed
});