The recent Planck data on the power spectrum of temperature anisotropies of the cosmic microwave background marginally support deviations from the Lambda Cold Dark Matter (CDM) model at several multipoles. With a view toward current and forthcoming observational surveys, we trace these features to other observables like the scalar bispectrum and the tensor power spectrum. A possible detection of such bumps in these channels would increase their statistical significance, shedding light on the ultraviolet mechanisms responsible for their appearance in the data.