The infrared effective theory of adjoint QCD with one Dirac
flavour is still under debate. The theory could be confining, conformal,
or fermionic fields could become the lightest fields in the IR. The study of chiral
symmetry seems to be important to answer this question. While previous
investigations have considered Wilson fermions breaking chiral symmetry, we present here the first results for this theory based on overlap
fermions. These indicate chiral symmetry breaking and the formation of a
fermion condensate. We have also investigated the running coupling of
the theory, which indicates no IR conformality in the energy region we have explored.