When you say it came off of the chuck, how do you mean this? It flew off and hit the wall? Unthreaded itself? Stripped its threads while you were turning it?
I don't have my set handy, but I do have a drill bit and a tap so I cut good threads in not just relying on the threads of the chuck to cut them. Then if the wood has any spalting or punking going on after cutting the threads I apply general amounts of thin glue, allow to dry and then recut the threads and have had success that way.
God and family, the rest is icing on the cake.
I'm so far behind, I think I'm in first place.
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Host of the 2015 FAMILY WOODWORKING GATHERING