Cloud Computing has proved to be a boon for many individuals and organizations who cannot afford infrastructure and maintenance cost of resources. But the untrusted nature of Cloud Server (CS) brings many challenges related to security and trust. Public auditing is one process that enables users to delegate the integrity verification of outsourced data to external party such as Third-Party Auditor (TPA). Provable Data Possession (PDP) is one approach of auditing that can verify the integrity using cryptographic algorithms. Many PDP schemes are based on bilinear pairing and homomorphic authenticators that involves complex computations that leads to increased verification time. The lightweight auditing processes is a need today using modern cryptographic techniques. Indistinguishability Obfuscation (IO) is one of the modern but weaker primitive that, if used with one-way functions, provide multiple cryptographic constructs. Sahai and Waters proposed construction of cryptographic constructs using IO. Zhang <i>et al.</i> proposed lightweight public auditing scheme using these IO. But still there are many goals to achieve such as group support, collusion handling, privacy-preserving etc. using IO. In this paper, we are trying to explore these issues and lists future research directions in this field.