off the cuff, impromptuでしょう。 pull something out of your sleeve, shake something out of your sleeve, sleeve-shakingともいえます。
http://www.youtube.com/watch?v=VNK14lH2z0c 4:07 off the cuff
http://www.youtube.com/watch?v=l7YhGAhOQeQ 6:29 off the cuff remarks 即興のコメント
練習問題解答
a-8869 off-the-cuff answers
b-1902 off-the-cuff remarks
b-6529 off the cuff