I'd say (from experience) Biology is a real application of Chemistry. Whilst you might not need Chemistry to succeed in Biology, I found myself having a much more enriched understanding in some of the concepts and processes because of the nature of the components involved in relation to their Chemistry.
Biology is a mix of human and other, in essence a study of all living things. Living things are brought about by molecules, so there's a pretty clear link.
For example, in the processes of Photosynthesis and Human Respiration, to understand the reasoning behind the molecules behaving the way they did gave me real background and support to understanding the concepts themselves.