  We provide an explicit construction for Gazeau-Klauder coherent states
related to non-Hermitian Hamiltonians with discrete bounded below and
nondegenerate eigenspectrum. The underlying spacetime structure is taken to be
of a noncommutative type with associated uncertainty relations implying minimal
lengths. The uncertainty relations for the constructed states are shown to be
saturated in a Hermitian as well as a non-Hermitian setting for a perturbed
harmonic oscillator. The computed value of the Mandel parameter dictates that
the coherent wavepackets are assembled according to sub-Poissonian statistics.
Fractional revival times, indicating the superposition of classical-like
sub-wave packets are clearly identified.
