The standard image of Nietzsche's "Aristocratic Radicalism" tends to ignore a closer reading of who the weak really are in Nietzsche's philosophy, imo. The "überman" I believe is a nearly impossible ideal, as the figure of the strong, the closest thing you can get to it is the Lion, which I'll talk about later.
The weak man for Nietzsche would be the subject who clings to "metaphysical comforts," assured of some sort of "beyond" which is the indestructible core of their reality (see the satyric chorus in The Birth of Tragedy), whether the "beyond" be specifically a philosophical metaphysics or a politico-ideological fantasy. The weak are also bound to the values of the current society, the "good and evil" values, decrepit morality.
An interesting thing to consider for a Nietzschean model of communism is the following quote from an essay titled "Fate and History," written when he was 17, and I think it provides a good base for a model of revolution:
" If it became
possible completely to demolish the entire past through a strong will, we would immediately
be transported into the realm of autonomous gods, and world history would
suddenly be for us nothing but a dreamy self-deception: the curtain falls, and man
finds himself like a child playing with worlds, like a child who awakens at the glow
of dawn and, laughing, wipes the terrible dreams from his brow." (Nietzsche, 1862)
I think that authors such as Zizek and Badiou recall such sentiments with the notion of communist revolution as a clean break with history, and an absolute negation of capitalist society. The demolition of history and the absolute negation/overturning of all previous values (the Nietzschean transvaluation) provides the open space for pure freedom, pure sovereignty, pure creativity. On this picture it is the figure of the Lion which symbolises revolution, and the famous (Zizekian) "day after" is the figure of the Child, creating and playing with new worlds (as indicated in above quoted passage). This is also reminiscent of Zizek's employment of Benjamin's Theses on the Philosophy of History, I have specifically in mind his discussion of Benjamin, revolution, and repetition from The Sublime Object of Ideology.
tl;dr the Overman is the figure of the revolutionary, the Lion, which performs the transvaluation, the absolute negation of all hitherto society/values.