Trem question on a Cutlass

Using a whammy bar is new to me. This weekend I was working on the song Sleepwalk which is pretty whammy intensive. My question. Is there a way to snug up the whammy bar so it doesn’t fall away if not actually holding it? I switched over to a SilverSky to learn the song because I got tired of chasing the bar. It was a not a great trade off though because the Cutlass plays easier on the bends. Is there a grommet or anything that can help with this?