The effects of physical ageing on the mechanical properties of a liquid-crystalline copolyester (LCP) were determined. Creep measurements in torsion as a function of ageing time were performed on macroscopically unoriented samples in the temperature range of −60 to 180°C. Below the glass transition temperature ( T g ≅ 100°C), the results indicate physical ageing effects analogous to those of flexible polymers. However, the curvature exponent of the compliance as a function of creep time of the LCP is distinctly smaller. Above T g, physical ageing remains present while additional annealing effects arise. The molecular interpretation of the time dependence of mechanical properties in LCPs cannot rely upon free-volume concepts as in flexible polymers, but might be based on new structural models that were recently introduced.