We have often heard about the lack of research or scientific studies about homeopathy. The truth is there is thousands of studies.
Here is a YouTube video about it : The State of Research in Homeopathic Medicine and Understanding the Biological Basis for Homeopathic
And in the American Institute of Homeopathy you can find more information about research and studies.
References: Homeopathy_Research_Evidence_Base_7-12-2017