Chemistry is the basis for many fields of engineering, biology, and other sciences. Therefore, it can give you insights in your field at broad and fundamental levels. That can strengthen your abilities to innovate and to see basic connections in your specialization or across disciplines. Almost anyone can benefit from a minor in Chemistry, but there are some fields where a chemistry minor adds particular strengths. For example, biology-chemistry (major-minor) could prepare you for graduate school or a career in biochemistry or molecular biology. Math-chemistry could be an option for people in applied math. Chemical physics is an important field in physics. Engineering-chemistry could open new possibilities for you (note that this major-minor is not equivalent to chemical engineering).
Recently a few colleges have introduced business-chemistry programs. A business major could gain valuable technical experience with a chemistry minor. However, business or humanities majors choosing a chemistry minor would usually have to count on significant amount of extra course work.