An important aspect in social computing is the structure of social networks, which build the underlying substrate for the exchange of information. With the growing importance of microblogging networks like Twitter a new class of directed social networks appeared. Recently, Ahnert and Fink [1] showed that some classes of directed networks are cleanly separated in the space of the clustering signature. In this paper, we study the structural dynamics which defines the clustering signature in scale free equilibrium networks. Moreover, we also study the hierarchical features of the network topology which lead to a deeper understanding of the clustering signature.