  We consider spatially homogeneous models in Ho\v{r}ava-Lifshitz (HL) gravity
that perturbs General Relativity (GR) by a parameter $v\in (0,1)$ such that GR
occurs at $v=1/2$. We prove that the induced Kasner map is chaotic for a broad
class of modified HL gravity models, when $v\in (0,1/2)$, despite the fact that
the Kasner map is multivalued in such subcritical regime.
