  Let $f$ be an invertible transitive subshift of finite type over a bilateral
symbol space $X$, let $\mu$ be a Gibbs measure for $f$ determined by a H\"older
continuous potential on $X$, and let $A$ be an invertible continuous linear
cocycle over $f$ acting on a continuous $\R^d$-bundle $E$ over $X$ with
Lyapunov exponents $\lambda_k < \lambda_{k-1} < \ldots < \lambda_1$ such that
$A^{-1}$ is continuous as well. We prove that if the Oseledets flags $F_j(x) =
E_j(x) \oplus E_{j-1}(x) \oplus \cdots \oplus E_1(x)$ depend upper
semi-continuously on $x \in X$, then there exists a Pesin set with
exponentially small tails for $\mu$.
