Your primary doctor's comment about your resection "not working" caught my eye. What an inexplicable comment given your very long spell of NED!
People can and do have second resections of the liver, and sometimes resections are done for other metastatic sites (e.g., lungs). The criteria seem to be generally the same as for an initial resection, e.g., no evidence of systemic spread, being healthy enough to withstand the surgery, tumor size and location, etc.
Two board members who have posted on their repeat resections are iowagirl and lisacraine. Their stories can be found via the search engine.
I attached an example of the research on this topic because in my own experience, I have found handing the doctor a study carries more weight than saying, "I read on a discussion board..." There are a bunch of medical journal articles on the topic of repeat resection for a cholangiocarcinoma recurrence if you want to search out more information.
With newly diagnosed patients whose CCA is confined to the liver, it is important to seek good surgical opinion(s). I guess the same advice would seem to hold for recurrent CCA confined to the liver. Other localized treatments are also options, so it is good you are exploring nanoknife.
Not a medical doctor!