Available to download now for iPhone from the Apple App Store, the mobile app offers a range of original content across "street style, nail art, make-up, what's on, crafting and fashion with a unique look".
Retailing in the Apple Newsstand at 69p, Company's first ever weekly app will be updated with new content every seven days. A version for Android devices is "launching soon".
The same team that produces the monthly print title is working on the app, but the content is being specially-created for the smartphone screen.
Alongside the editorial content, the Company Weekly Edit utilises its digital platform by offering links to iTunes to buy recommended music, as well as integrates social networks such as Facebook and Twitter.
In what is being described as an "industry first", the mobile magazine's cover each week will feature a reader selected by the Company team.
In a statement, Company - published by Hearst Magazines UK - said that the app was aimed at the "swipe girl" who wants easy access to latest fashion, beauty and weekly entertainment news on their phone.
"With fifteen regular stories each week including street style, blogger of the week, trending this week, intern Instagram and week in style the app has all the editorial pillars of the print mag but in a snappier, 'read-it-on-the-bus' format," the magazine said.
"It features video content, links to iTunes to buy recommended music and the ability to share stories across Facebook and Twitter.
"It also allows fashion obsessed readers to click to buy and also to save anything they love to their camera roll. And in a real industry first the cover each week will feature a reader selected by the Company team."