The Maximal Clique Enumeration problem (MCE) is a graph problem encountered in many applications such as social network analysis and computational biology. However, this problem is difficult and requires exponential time. Consequently, appropriate solutions must be proposed in the case of massive graph databases. In this paper, we investigate and evaluate an approach that deals with this problem on a compressed version of the graphs. This approach is interesting because compression is a staple of massive data processing. We mainly show, through extensive experimentations, that besides reducing the size of the graphs, this approach enhances the efficiency of existing algorithms.