Microstructures of a hot-extruded Mg₉₇Zn₁Y₂ alloy containing the long-period stacking/order (LPSO) phase have been investigated by transmission electron microscopy (TEM), particularly focusing on kink-deformed LPSO crystals. It is found that kink-deformation in the LPSO phase grains are mostly characterized by singular straight interfaces across which the host crystals are sharply bended, as being similar to those reported previously. In addition to these common LPSO phase kink-bands, we occasionally find unique microscopic traces at the kink-boundaries, which are composed of multiply segmented kink-interfaces that are sequentially rotated with small angles in a same direction, accomplishing a macroscopic large crystalline bend; i.e., a micro-kinking feature. Occurrence of such micro-kinking may hardly be explained by generation of dipole-pair dislocations in the early stage of kinking, which have been successfully used for phenomenological understanding of kink deformation.