When mine clogs, I soak the tip in MEK (Methyl Ethyl Ketone) which is available in hardware stores. I have a detached workshop, so I can deal with stuff like MEK. It's not a material you would want in your house, or near flames, pets, and kids.
It's one of the nastiest solvents you are likely to encounter, but it's also a very good bonder and cleaner for a lot of plastics, including styrene, PVC, and epoxy and fiberglass. A handy thing to have if your situation allows.
mike