“She won’t shake my hand,” Stone told us with a grin at Tuesday’s Time 100 gala, where the right wing pinup and the left wing filmmaker crossed paths.

“I couldn’t care less,” he shrugged. Except that he thinks “she is such a liar.”

Stone recalled that in “Going Rogue” – “that book her handlers wrote for her” – Palin claimed she had refused to shake his hand when they met backstage at “Saturday Night Live.”

“But she did shake my hand,” Stone insisted.

Palin stuck to her story, telling us, “I didn’t shake his hand then or tonight.”