Observing the dynamics, rhythms, and variations of migrating biological cells under the microscope exhibits fascinating complex properties. Our work tries to quantify and classify the dynamics of cell migration starting from experimental observations of living cells. From the contours of individual cells the probability distribution of velocities, the velocity correlation function and the mean square displacement are calculated. The results show similarities with an Ornstein-Uhlenbeck process but also characteristic differences, which can be interpreted as signatures of an anomalous dynamics.