What's striking about this phenomenon is that it involves Britons whose ancestors desperately fled Nazi rule in Germany and Austria in the 1930s.
They grew up with the memory of their parents' or grandparents' traumatic uprooting, the loss of loved ones in the Holocaust and the bitter struggle for acceptance in a British society that reluctantly opened its doors to Jewish refugees before the start of World War II.
Their ancestors were stripped of their German citizenship by the Third Reich; in the years after the defeat of the Nazis, the German government made it possible for the descendants of these refugees to have their citizenship reinstated.
The aftermath of the Brexit referendum has seen a spike in hate crimes and bigotry in Britain, particularly aimed at the country's diverse mix of immigrant communities.
"It's blame the foreigners," Ben Lewis, a documentary film-maker, told the Associated Press in a recent story on the unease of some British Jews.
"It's like the 1930s all over again."
Michael Newman, the executive director of the Association of Jewish Refugees, which was founded in 1941 to assist refugees settling in Britain, told reporters that he has submitted his own citizenship application and that his organisation has fielded hundreds of inquiries from other British Jews eligible for German citizenship.
"It is somewhat ironic that we were founded partly to help people become naturalised British after the war and, 70 years on, we find ourselves in the position of assisting people who want to acquire German and Austrian citizenship because of the recent developments in Britain," Newman told Britain's Guardian newspaper.
The same story cites Oliver Marshall, a British historian of international migration, whose grandparents were once apple-wine producers from the outskirts of Frankfurt and who fled Germany during the war.
"Brexit is closing doors and getting a German passport is opening doors for us," he said. "If there's anything Jewish about me, I think, it's that I want to keep things open, as you never quite know what might happen."
Ishaan Tharoor writes about foreign affairs for The Washington Post. He previously was a senior editor at TIME, based first in Hong Kong and later in New York.