In a typical magnetic material the interactions between neighbouring magnetic moments will tend to lead to their ordered alignment throughout the entire structure as it is cooled down. In a special class of magnetic materials, known as geometrically frustrated magnets, the particular arrangement of magnetic moments within the structure prevents typical long range order from occurring. The frustration of the magnetic interactions in a material is important, therefore, as it can induce very unusual magnetic behaviour. TbInO3 is an excellent example of such a material. We have performed a detailed study of TbInO3 through various experimental techniques. Crucially, whether or not the magnetic Tb3+ ions in TbInO3 adopt long rang order not is still unclear. Here we propose to study the magnetic properties of TbInO3 at the lowest temperatures by muon spin relaxation measurements.