In "Doctor Strange" #46 (April 1981) even Doc's supreme sorcery can't get him through airport security without a hitch.
Quick, get the Department of Home Dimension Security on the line! And the Federal Levitation Administration!
And he didn't just teleport to his destination because...? It's implied in the story that this whole trip was Clea's idea, and she remarks that she finds the airport fascinating, but it's never made clear if Clea specifically wanted to travel on an airplane. And I know she's not from Strange's dimension so all sorts of mind-numbing, horrible activities would be new and exciting for her. But the airport--?! Hell, why not send her to renew a driver's license? Or to get a root canal? How about a romantic, intimate weekend on a garbage barge? Maybe Strange could transform her into a Demodex mite and make her live in J. Jonah Jameson's mustache for a week, where she'd suffocate in cigar smoke and occasionally be drenched in vermouth. That'd be more fun than the airport.
But I can see you're growing impatient. You want to know how Strange got himself out of this mess. Well, here ya go!