It might be expected that trajectories for a dynamical system which has no negative Lyapunov exponent (implying exponential growth of small separations will not cluster together. However, clustering can occur such that the density $ρ(Δ x)$ of trajectories within distance $Δ x$ of a reference trajectory has a power-law divergence, so that $ρ(Δ x)∼ Δ x^{-β}$ when $Δ x$ is sufficiently small, for some $0<β<1$. We demonstrate this effect using a random map in one dimension. We find no evidence for this effect in the chaotic logistic map, and argue that the effect is harder to observe in deterministic maps. Comment: 4 pages, 2 figures