Hi Paul!
Given that this species is a member of the Spurge Family (Euphorbiaceae) I certainly would treat the wood as suspect and potentially toxic.
One web site reports that "All parts of tung tree are toxic, but the fruits are most dangerous." [
q.v. http://www.floridata.com/ref/a/aleu_for.cfm ]
There is a wide range of secondary chemical compounds found in members of the Euphorbiaceae that can cause severe contact dermatitis and tissue damage. African species of
Euphorbia have been known to cause blindness, skin blistering, and even death when the toxic latex comes in contact with people. I get a call from local hospitals every few years from emergency room physicians who need to treat patients who have euphorbia latex poisoning of some sort (....including poinsettia!). While the wood is not likely to contain latex,
per se, it is likely that the toxic compounds will be found at least in some concentration in the wood.
If you do decide to turn it, work with it as you would any potentially toxic species, and proceed at your own risk.... (e.g. cover skin, full respiratory protection, proper disposal of wood scraps and dust, etc.)
Rob