  We discuss the phase diagram and phase transitions in $U(1)\times \groupZ{2}$
three-band superconductors with broken time reversal symmetry. We find that
beyond mean field approximation and for sufficiently strong frustration of
interband interactions there appears an unusual metallic state precursory to a
superconducting phase transition. In that state, the system is not
superconducting. Nonetheless, it features a spontaneously broken $\groupZ{2}$
time reversal symmetry. By contrast, for weak frustration of interband coupling
the energy of a domain wall between different $\groupZ{2}$ states is low and
thus fluctuations restore broken time reversal symmetry in the superconducting
state at low temperatures.
