  Bouncing models of cosmology, as they arise e.g. in loop quantum cosmology,
can be followed by an inflationary phase and generate close-to-scale-invariant
fluctuation spectra as observed in the Cosmic Microwave Background (CMB).
However, they are typically not Gaussian and also generate a bispectrum. These
models can help to mitigate the large-scale anomalies of the CMB by considering
substantial non-Gaussianities on very large scales, which decay exponentially
on sub-horizon scales. It was therefore thought that this non-Gaussianity would
not be visible in observations, which can only probe sub-horizon scales. In
this letter we show that bouncing models with parameters such that they can
significantly mitigate the large-scale anomalies of the CMB are excluded by the
Planck data with high significance of, depending on the specific model, $5.4$,
$6.4$ or $14$ standard deviations.
