Comment on "Could the Excess Seen at 124-126 GeV Be due to the Randall-Sundrum Radion?"

In recent Letter by Cheung et al.[PRL {\bf 108},141602(2012)], one very interesting suggestion for the excess around 125 GeV seen at the LHC is a RS radion with ${\mathrm{\Lambda }}_{\varphi }=680$GeV. In this note, we show that taking constraints on the RS graviton into account, it is unlikely to have a 125 GeV RS radion with ${\mathrm{\Lambda }}_{\varphi }=680$GeV and accommodate with both experimental and theoretically constraints.