The use of monoclonal antibodies as therapeutic agents has been increasing steadily over the last decade for the treatment of various conditions. There is often a need to deliver a large dose of the protein, so there is a trend toward developing commercially viable liquid formulations of highly concentrated antibodies. Such concentrated solutions are associated with a number of challenges, including optimization of production processes, plus chemical and physical stability of the final product where solution viscosity becomes a critical quality attribute. Assessment of the rheological characteristics of concentrated compositions is essential as are development strategies to reduce the viscosity. This review covers the state-of-the-art rheology measurement techniques, focusing particularly on concentrated protein solutions. Current understanding of the mechanisms leading to high viscosity and control by formulation parameters is discussed.