We investigate the possibility to detect neutralino dark matter in a scenar
io in which the galactic dark halo is clumpy. We find that under customary
assumptions on various astrophysical parameters, the antiproton and continu
um gamma-ray signals from neutralino annihilation in the halo put the stron
gest limits on the clumpiness of a neutralino halo. We argue that indirect
detection through neutrinos from the Earth and the Sun should not be affect
ed much by clumpiness. We identify situations in parameter space where the
gamma-ray line, positron and diffuse neutrino signals from annihilations in
the halo may provide interesting signals in upcoming detectors. [S0556-282
1(99)00802-4].