Since Clark Gable and Carole Lombard are one of the most remembered old Hollywood couples, it's surprising that they only worked together once, several years before they fell in love and later married in 1939 (even though the 1976 film Gable and Lombard makes it seem as if they began seeing each other soon after they met).
I quite enjoyed watching Gable and Lombard in this film. Even though they weren't together at the time, I thought they had wonderful chemistry and played off of each other very well. Another great addition to the cast is Elizabeth Patterson, who is most famous for her role as Mrs. Trumble in I Love Lucy.
Overall, I wouldn't say No Man of Her Own is the best of either Gable or Lombard's films- I'd pick Gone With the Wind and My Man Godfrey for those- but I do think it's a decent film supported by remarkable performances. You can watch it here if you wish.