Apparently the cell which grows into the baby dragon is formed from an ordinary egg cell that duplicates each of its chromosomes rather than having a second set of chromosomes provided by a male sperm cell, as in sexual reproduction. It turns out that the Komodo sex determination system means the offspring are always male.
I believe this means that the offspring are thus completely homozygous, though not clones of their mother because the egg chromosomes were formed by the usual meiosis. Even more amazing (I think) is that there are apparently some boa snakes which can also reproduce via parthenogenesis but whose sex determination system makes all offspring female. IIUC, if any of these daughters were also to reproduce via parthenogenesis, then their offspring would indeed be clones of their mothers. A sort of genetic end point.