Hi Hasty P
Was it spitting paint or water?
Spitting paint probably means the the tip is clogging. In a long session, paint can dry on the tip - try cleaning it with a brush-load of thinners. Spray away from the model and when it clears and sprays normally, carry on with your paint job.
If it's really gunged up, strip the airbrush down and soak the tip etc in thinners.
If it was spitting water, you need a moisture trap. Even with one (or two, in my case!) you may still get occasional spatters of condensation in very damp or humid weather.
Hope this helps
Rowan