I really don't get the comedy here.
Curtis and Lemmon dress up as showgirls to avoid the mob.
That's good for a five minute sketch, but not a full length movie.
And that's the problem. It is stretched out to be an ordeal. For some reason, some guy likes Lemmon as a woman, and Lemmon avoids him. And for some reason, Curtis likes a relatively plain showgirl (Marilyn Monroe was always a "woman's woman", not in the league with the beauties of Hollywood, which was her appeal, being the "girl next door" instead of "the girl you wanted next door" Dawn Welles or Raquel Welch.
But who is lucky enough to get Dawn Welles next door to him? Which is why we get the more down to earth looks of Marilyn to be popular in movies.
The "comedy" was "dated" even in the sixties. I'm not sure it was even funny in 1959, but it appears to have a designated target audience of people who like super dry humor disguised as slapstick, or whatever you call this vain attempt to be funny.
It isn't a "terrible movie", and it isn't depressing, but it is quite dull. Not good news for a comedy.