A spider consists of several, say N, particles. Particles can jump independently
according to a random walk if the movement does not violate some given
restriction rules. If the movement violates a rule it is not carried out. We consider
random walk in random environment (RWRE) on Z as underlying random walk. We
suppose the environment ! = (!x)x2Z to be elliptic, with positive drift and nestling,
so that there exists a unique positive constant  such that E[((1 - !0)/!0)] = 1.
The restriction rules are kept very general; we only assume transitivity and irreducibility
of the spider. The main result is that the speed of a spider is positive if
/N > 1 and null if /N < 1. In particular, if /N < 1 a spider has null speed but
the speed of a (single) RWRE is positive.