  We analyze $s + is$ state proposed as a candidate superconducting state for
strongly hole-doped Ba$_{1-x}$K$_x$Fe$_2$As$_2$. Such a state breaks
time-reversal symmetry (TRS) but does not break any other discrete symmetry. We
address the issue whether TRS breaking alone can generate spontaneous currents
near impurity sites, which could be detected in, e.g., muSR experiments. We
argue that there are no spontaneous currents if only TRS is broken. However,
supercurrents do emerge if the system is put under external strain and C4
lattice rotation symmetry is externally broken.
