Not 100% sure but it should be enough to give the sroll class a 100% height. the lower div will always stay on the floor of the fixed container.
<!doctype html>
<html>
<head>
	<style>
		.fixed {
			position: fixed;
			right: 0;
			width: 150px;
			height: 75%;
		}
		.scroll {
			overflow: scroll;
			height: 100%;
		}
	</style>
	<title>test</title>
</head>
<body>
	<div class="fixed">
		<div class="scroll">
			afsdfsadf asd
			affdas
			sadfsdfa
			asdfsa
		</div>
		<div class="bottom">
			this is my chatbar_description;
		</div>
	</div>
</body>
</html>