There aren't really any dynamic characters in "The Chaser." However, the old man's unique business model, if you want to call it that, is certainly predicated on the existence of men changing their tune with regards to the women in their lives. They may be hopelessly smitten now, but once they've grown bored with all the constant, suffocating attention and devotion, then the old man is certain that they'll be beating a path to his door once more, only this time to get their hands on what he euphemistically calls his "life-cleaner," a poison that will allow these changed men to get rid of their "problem" without eliciting suspicion.
Perhaps one could also say that the old man himself has experienced something of a change throughout his life. Maybe he used to be just like Alan Austen but became cynical due to his experiences with women and built his sordid little business on the back of them.
Alan Austin is pretty shallow, and so does not change much during the story itself. However, the old man's perspective indicates that he will change—but that he (Alan) doesn't know it yet. Instead, the old man sets him up to change, by giving him precisely what he wants, and essentially trapping him. The dynamism of the character is implied, and fairly subtle.
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