You can save articles in the CNBC iOS app by tapping on the small ribbon icon on the bottom right of the article.
You can then access your saved articles by scrolling all the way down to the bottom of the home screen to the Saved section, as shown below.
By default, Saved is the last section before Special Reports, but please note that you can reorder your news sections by going to Settings (gear icon) -> Edit News Sections. For example, to move the Saved section, you can hold down on the three-line icon on the right and drag it to your desired location.