The rheology and morphology of thermotropic liquid crystalline (TLC) polyesters are greatly dependent on the shear and thermal history of the sample. In this paper, the results of the time‐dependent melt rheology of a main chain, low‐melt TLC polymer with two flexible spacers are presented. Factors which have an effect on the viscoelastic properties such as temperature, frequency, and strain amplitude are discussed. It is shown that the increase in η* at constant strain amplitude and temperature, depends only on time and not shear. X‐ray diffraction patterns indicate that shear causes the polymer molecules to orient in the shear direction. Both frequency and strain amplitude seem to induce a gradient of crystallinity in the bulk of the samples and the crystalline fraction is predominant near the surface.