  We present a detailed specific heat study of the CeNi$_{1-x}$Cu$_{x}$series
in a large temperature range of 0.2 K to 300 K. The analysis of these data,
considering also previous neutron scattering, magnetic characterization and
$\mu$SR results, allows us to present a convenient description of the system as
inhomogeneous on the nanometric scale. Two regimes are detected in the
compositional range depending on the dominant RKKY or Kondo interactions. We
propose that the long-range magnetic order at low temperatures is achieved by a
percolative process of magnetic clusters that become static below the freezing
temperature $T_{f}$. In this scenario the existence of a Quantum Critical Point
at the magnetic-nonmagnetic crossover must be discarded.
