The discovery of twist-bend nematic liquid crystals with lower symmetry than the ordinary nematic crystals has created immense interest in the field. These crystals are made of achiral dimeric molecules in which the director forms an oblique helicoid with a nanoscale periodicity. In this article the authors have shown that depending on the shear rate and the temperature there are three distinct flow regimes. The observed dynamic stress fluctuations in the intermediate regime, exhibiting regular periodic and quasiperiodic oscillations are akin to the spatiotemporal dynamics predicted in sheared nematogenic fluids.