For China, besides my post on alternating single and double given names by generation, there are also some intriguing double surnames, often deriving from northern ethnic minorities.
Of the many that were used in early history, some have fallen out of use, with clans often adopting single surnames—a process that took place over a long period, unlike the rapidly changing fashions in given names. Double surnames still quite common are Ouyang 歐陽, Shangguan 上官, Sima 司馬 and Situ 司徒; less so are Zhuge 諸葛, Xiahou 夏侯, Huangfu 皇甫, Huyan 呼延, and Zhongli 鍾離.
Among ethnic minorities, longer compound surnames are still common, adapted to Chinese style, such as the Manchu Qing imperial clan Aisin Gioro. But with the Han chauvinism of the current CCP this is changing too—for Uyghur names under the current clampdown in Xinjiang, see e.g. this article.
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For the Han Chinese double-barrelled surnames I can’t discern potential for satire, as we class-conscious English like to do for Posh Upper-Class Twits—whether fictional characters like Gussie Fink-Nottle and Sir Arthur Streeb-Greebling, and Monty Python’s Vivian Smith-Smythe-Smith, Simon Zinc-Trumpet-Harris, Nigel Incubator-Jones, Gervaise Brook-Hamster, and Oliver St. John-Mollusc:
or real people who really should be fictional, like Jacob Rees-Mogg. There is latitude in the use of the hyphen. Indeed, why stop at two surnames? This wiki article also considers international naming practices, including Germany and Iberia. As Silly Names go, it’s hard to beat Leone Sextus Denys Oswolf Fraudatifilius Tollemache-Tollemache de Orellana Plantagenet Tollemache-Tollemache, British captain who died in World War One.
Now the Riff-Raff [sic] are getting in on the act too, with young sporting luminaries such as Alex Oxlade-Chamberlain, Trent Alexander-Arnold, and the wonderful Katarina Johnson-Thompson, who soars high above the recumbent Tree-Frog.
See here for more on How to be English.