Animagic, actually a very old term predating modern wizardry, is what a few animages still like to call their craft. It is an extremely demanding craft, much more fundamental than 'prepackaged' wizardry, more scientific than the grunts, wails, and drug-induced hallucinations of the druids, and much more immediate than the ritualized clerical rigmarole.
How does the aspiring student of this day learn Animagic in this time when animages are in disrepute? This is a difficult question. Like wizardry and religion, Animagic can't be picked up simply on the side, at least not easily. Someone must teach it to the novice. Now, fortunately, almost anyone with the required knowledge, cleverness, strength of will, and fortitude can pick up some Animagic from a willing tutor. However, true mastery requires intense discipline and long study (and talent).
If the novice wishes to specialize in one of the standard sub professions, such as Healing, Seeing, Summoning, Elementalism or Mentalism, then he or she need only seek out the infrequent, but certainly present, schools in such and pass the entrance requirements to learn. If one prefers a more liberal approach and a broader background, then one must seek out a local master or a wandering animage who would be willing to pass on knowledge. In fact, for true liberality, one would probably need to seek out several such masters.
Can Animagic be picked up on one's own? Not from scratch, no. The basics, at least, must be taught by someone. Eventually, however, many animages may teach themselves in disciplines they already know. Teaching oneself generally takes at least twice as long as learning from an instructor.