How To Use Off the cuff In A Sentence

The first thing I see right off the cuff is this group is still in love with LaVey and his plagiarist thoughts! Progressive Satanism? Satanic Insurance or an Cult! | Disinformation
Maybe I think it should be like a good improv… witty and clever and smart and off the cuff.
Oh, don't worry about that," the mayor said, brushing a piece of lint off the cuff of her navy blue blazer. CIRCLE OF THREE: BOOK 7: BLUE MOON
Were I not translating that off the cuff, I'd have used "Hungarian," I suppose, but I just like the word Magyar, and, through the Czech exposure, don't really register it as that odd in English. Languagehat.com: TRANSLATING SCHWEIK.
Still, his nervousness proved to be unwarranted as he kept the audience in rapt attention with his loose, off the cuff demeanor and laconic sense of humor (it didn't hurt that BodyWorld is very funny; Shaw's voices for his characters were hilariously fitting). Dash Shaw goes to college | Robot 6 @ Comic Book Resources – Covering Comic Book News and Entertainment

the presidential candidate made a remark off the cuff
Speaking off the cuff, she's lost in cliché and truism. Times, Sunday Times
‘He has no trouble speaking off the cuff when he's speaking punitively, when he's talking about violence, when he's talking about revenge,’ Miller told Whyte.
Murray isn't really backing off; she says that her remarks were ‘off the cuff,’ but hasn't disavowed them.
It was an off the cuff remark, it was not meant to "perturb" you. The Bitch Is Back
The only other tourism thing that I can think of off the cuff is the Pancho Villa Museum, worth the time if you are in Chihuahua City. Staying in Chihuahua City
And I think something that's special about this particular performance and this mazurka, it points out something that you can find in many places in Chopin's music, which is fascinating to me, and that is this idea that the music sounds like it's off the cuff, and it couldn't be further from the truth. Chopin With A Polish Touch