Monitoring and analyzing live data is crucial in many aspects of life. But visual monitoring approaches are often not accessible and exclude people who are blind or have low vision. This systematic literature review aims to identify and analyze non-visual methods for presenting live data to this user group, identifying areas for further exploration and improvement. The search covered research articles and surveys published before August 2024. We used Web of Science, IEEE Xplore, ACM digital library, and Connected Papers to find English publications targeting people with blindness or low vision. We screened more than 1400 publications, of which 14 met the eligibility criteria. Most approaches use verbalization, but only two evaluations with participants with blindness or low vision were conducted. The review reveals a significant research gap in live data monitoring for people who are blind or have low vision. While promising technologies exist, they are seldom assessed.