The expression didn't bat an eye is well recognized. As an idiomatic such, one has to be careful not to tamper with it too much risking its integrity. However, I did use it in a bit different grammatical form and people were surprised. They, sort of batted the eyes.
Oh, this was definitely an eye batting moment, won't you agree?
My view is that's both obvious and a bit witty. However, I'm known to be rather inventive when it comes to grammar and vocabulary so I keep humble as a non NSE to verify whether the reality agrees with me.