  We investigate the three-term Leggett-Garg inequality (LGI) for a two-level
quantum system undergoing parity-time (PT ) symmetric dynamics governed by a
non-Hermitian Hamiltonian, when a sequence of dichotomic projective
measurements are carried out at different time intervals. In contrast to the
case of coherent unitary dynamics, violation of LGI is shown to increase beyond
the temporal Tsirelson bound approaching the algebraic maximum in the limit of
the spontaneous PT symmetry breaking
