The paper reviews the research status of shear viscosity in nucleonic matter, discussing various methods to calculate it, including mean free path, Green-Kubo, shear strain rate, Chapman-Enskog, and relaxation time approximation. It explores the results for both infinite and finite nucleonic matter, investigating the universality of the ratio of shear viscosity to entropy density and transport characteristics such as the liquid-gas phase transition. The paper also briefly discusses shear viscosity in quantum chromodynamic matter produced in relativistic heavy-ion collisions. The theoretical aspects of shear viscosity in nucleonic matter are examined, considering the effects of Pauli blocking, nucleon-nucleon cross sections, temperature, density, and isospin asymmetry. Experimental aspects, including analysis methods and shear viscosities of finite nuclei, are covered. The paper further analyzes the ratio of shear viscosity to entropy density in relativistic heavy-ion collisions, examining its behavior across the QCD phase diagram and its dependence on collision centrality and magnetic field. Finally, it provides a summary and outlook on the current understanding and future directions in the study of shear viscosity in nucleonic matter.The paper reviews the research status of shear viscosity in nucleonic matter, discussing various methods to calculate it, including mean free path, Green-Kubo, shear strain rate, Chapman-Enskog, and relaxation time approximation. It explores the results for both infinite and finite nucleonic matter, investigating the universality of the ratio of shear viscosity to entropy density and transport characteristics such as the liquid-gas phase transition. The paper also briefly discusses shear viscosity in quantum chromodynamic matter produced in relativistic heavy-ion collisions. The theoretical aspects of shear viscosity in nucleonic matter are examined, considering the effects of Pauli blocking, nucleon-nucleon cross sections, temperature, density, and isospin asymmetry. Experimental aspects, including analysis methods and shear viscosities of finite nuclei, are covered. The paper further analyzes the ratio of shear viscosity to entropy density in relativistic heavy-ion collisions, examining its behavior across the QCD phase diagram and its dependence on collision centrality and magnetic field. Finally, it provides a summary and outlook on the current understanding and future directions in the study of shear viscosity in nucleonic matter.