Ming restoration?

I figure our few Chinese experts can handle this one. What are the chances for a Ming restoration after the 1683 fall of the Southern Ming in Taiwan? Was there actually any remaining descendant of the dynasty who could claim the throne? And I'm not talking about the Taiping here, that was a new dynasty altogether.
 
Basically zero. By this time the Three Feudatories Revolt has been crushed, and the Zheng family is not much of a factor after Zheng Keshuang surrendered Taiwan to Qing Chao. Furthermore, by 1683 there are really no legitimate Ming heirs to the throne left. Hongguang Emperor? Dead. Longwu Emperor? Dead. Yongli Emperor? Dead. Dingwu Emperor? Dead. Ditto for all of their sons, at least the ones that I can find. Maybe there's someone whose mother used to be roommates with the twelfth concubine of the Chongzhen Emperor, but at that point there are really not any legitimate claimants left, not to mention that organized resistance has been crushed anyway.
 
What about later on, once the Qing really got into shit?

The problem is with claimants to the throne. By the time the Qing really run into trouble (and I'm assuming that you're referring to mid-19th century on, what with the Taiping Rebellion, Nian Rebellion, Du Wenxiu Rebellion, Dungan Rebellion, White Lotus Rebellion . . . ) is that there's no one left who can say, "I am the legitimate heir to Great Ming! Rally behind me!" Or something to that effect. I think that any Ming restoration that has an actual connection to the Ming has to be effected during the Southern Ming/Three Feudatories/Dongning Kingdom period, when things were still up in the air, so to speak.
 
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