A bounded linear operator $T$ on a Banach space $X$ is called subspace-hypercyclic for a subspace $M$ if $\orb(T,x) \cap M$ is dense in $M$ for a vector $x \in M$. We show examples that answer some questions posed by H. Rezaei \cite{Rezaei}. In particular, we provide an example of an operator $T$ such that $\orb(T,x)\cap M$ is somewhere dense in $M$, but it is not everywhere dense in $M$.