I know it sounds REALLY dangerous but i usually warm the needle up over a flame. Since it is the absolute tip of the needle clogging theres no real danger of igniting anything.
The needle will "pop" clear and i cool the tip down with some saliva. Been doing it for years and consider having an argument with my wife infinitely more dangerous...
Richard
EDIT: shoulda read better.... I was referring to the plastic glue i use, not CA.... I use a brush bottle of that stuff... never a prob