Process Mining as a discipline is based on Business Process Management where techniques and tools are used for knowledge generation. One important aspect of process mining is compliance checking which is founded over concepts of Audit 2.0. Where the "As-is" state of a business is compared with the "To-be" state of the business. In Compliance Checking behaviour of process models is compared to the event logs of said process. How to perform this comparison is a big concern of the business process management community. There exist many techniques but which technique is suitable when and where is the question addressed in this paper. Furthermore, this paper aims to discuss the gradual introduction of techniques in Compliance Checking as well as identifying the research gaps in the area.