"Beauty-parlor chitchats" can be replaced with a variety of synonyms depending on the context and tone of the conversation. For a more formal setting, "salon banter" or "stylist dialogue" could be used. If discussing the casual and gossipy nature of these conversations, "hair salon gossip" or "beauty parlor chat" may be appropriate. If emphasizing the social aspect of these interactions, "hairdresser socializing" or "stylist conversations" could work. Other options include "spa small talk," "esthetician exchanges," and "beautician banter." Ultimately, the word choice should reflect the intended meaning and tone of the conversation.