Zero.

The Communist Party of China is widely approved of, even in Hong Kong polls. They're seen as the creators of the Chinese economic miracle and the restorers of China's rightful place among the superpowers.

Some naive Westerners at times assume there would be a revolution against lack of freedom of speech, or not having democratic elections etc. This is completely ignoring the history of revolutions. Mass revolutions aren't born of imported foreign intellectual ideals. They're born of lack of welfare/poverty, perceived injustice, and/or ambition.

The Soviet Union was failing economically and the new glasnost policy brought issues of injustice and oppression to the press, causing local uprisings leading to the fall of the union. This is exactly what is not happening China. There's no incoming "glasnost" to create public outrage and the people don't want to "mess with success".

Censorship etc. is discussed in the open and as far as I know Chinese people they mostly seem happy with the state of affairs - this is in stark contrast with E. Euro people I know still.

Don't really see a revolution benefiting bitcoin in the near term either. You don't need an alternative currency or money laundering in times of revolution.