Over the decade, the usage of data had increased exponentially, which led to the demand for its effective storage and retrieval. The cloud environment has developed to handle that demand with its huge storage space and easy accessibility. However, the open nature of the cloud resulted in the data integrity issues and multiuser cloud enriched it. The other issues like group signature and user revocation took the central part to ensure integrity of data in the cloud. The present study summarizes various techniques that were developed in recent times to address the security issues on data integrity, user revocation, and group signature. To reflect on the novelty of each approach, along with its performance in providing integrity for the cloud data stands as the primary objective of the study. From the extensive study, it was found that the overhead on the computational and communication overhead increase proportionally with an increase in the number of the user during the group signature generation and recurrent user revocation. There was a need for an effective cryptic mechanism with effective cloud storage and recovery of data. Finally, it was suggested to develop a robust framework that can provide enhanced security with reduced overhead and ensure data integrity.