It is a mistake to see Jung as a disciple formed by Freud who then broke away to found his own school by modifying the doctrine he learned. Jung was influenced by Nietzsche and Bergson, and he had his own ideas (including about psychic energy) and reputation (he worked with schizophrenics at the Burghölzli Clinic before he contacted Freud), which was why he was such a good « catch » for the movement. Further he had done his experiments on word-association and theorised their results in terms of complexes (Lacan’s signifiers are in a line of succession from this work). Jung’s training and initial work was mainly with psychotics, contrary to Freud’s lack of experience in this domain. A major objection that Jung had to Freud’s theory concerned his far too narrow concept of psychic energy which was part and parcel of a reductionist vision of the psyche.
Deleuze’s statements about Jung are inconsistent, and not a good guide to seeing the affinities that exist between his thought and Jung’s. A few points of convergence:
1) using schizophrenic production as a better guide to the nature and structure of the unconscious than neurosis
2) the discernment within psychosis of a process of subjectivation (individuation) that can be a dynamic of psychic breakdown or of breakthrough to wider and freer consciousness
3) a relativisation and desubstantialisation of the ego as just one complex (assemblage) and perspective alongside a multitude of other complexes and perspectives making up the psyche
4) a non-reductionist approach to symbols and their interpretation, refusing to to limit the analogical play by imposing the Freudian grids as the ultimate « real » interpretation, but respecting their transversality (amplification, deterritorialisation)
It is the alchemical Jung that is the most interesting and that presents the most affinities with schizoanalysis. It is in the books on alchemy (which stem from his « breakdown », as Jung himself always emphasised) that we see all the animal becomings and molecular processes that Deleuze and Guattari discussed. Jung was very clear that alchemy is not just in the texts but is ongoing in our individual and collective psyches, and that dream imagery and artistic productions (painting, literature, we can add cinema) are the privileged workshop and observatory of the psychic (= « desiring », in Deleuzian language) production.