I have had an intermittent fault on an alternator, but it's not common. Turned out to be a bad connection at the end of one of the rotor windings, stopped the alternator working as the engine bay warmed up, and soldering over the bad compression joint with the big iron fixed it. Most of these intermittant problems turn out to be a bad connection somewhere. It could be earth straps, connections to the alternator, or even a dry joint within the alternator or ELD unit.
Favourite failure is one of the rectifier diodes, as culzean says, and almost always results in a permanently dead alternator.
Other half had a Renault 5 where the brushes wore through the slip rings!