  We show that a collar lemma holds for Anosov representations of fundamental
groups of surfaces into $\SL(n,\R)$ that satisfy partial hyperconvexity
properties inspired from Labourie's work. This is the case for several open
sets of Anosov representations not contained in higher rank Teichm\"uller
spaces, as well as for $\Theta$-positive representations into $\SO(p,q)$ if
$p\geq 4$. We moreover show that 'positivity properties' known for Hitchin
representations, such as being positively ratioed and having positive
eigenvalue ratios, also hold for partially hyperconvex representations.
