It is just as well there is a convention against multiple colons in a sentence. In most workaday writing, however good, the colon is just a splice, although a pregnant one.
But in creative writing, a really strong writer with a delicate hand can create a galloping sentence that joins clause after clause with propulsive colons. This can be thrillingly effective. Wilde has a few of these in De Profundis and they have the effect of the best cinematic montages that compress a development of years of into a minute of breath-snatching sequence:
It was, let me say frankly, the sort of letter I would, in a happy if wilful moment, have written to any graceful young man from either University who had sent me a poem of his own making, certain that he would have sufficient wit or culture to interpret rightly its fantastic phrases. Look at the history of that letter! It passes from you into the hands of loathsome companions: from him to a gang of blackmailers: copies of it are sent about London to my friends, and to the manager of a theater where my work is being performed: every construction but the right one is put upon it: Society is thrilled with the absurd rumors that I have had to pay a huge sum of money for having written an infamous letter to you: this forms the basis of your father's worst attack: I produce the original letter myself in court to show what it really is: it is denounced by your father's counsel as a revolting and insidious attempt to corrupt innocence; ultimately it forms part of a criminal charge. The Crown takes it up: the Judge sums it up with a little learning and much morality: I go to prison for it at last.