Derby's attacking midfield trio of Commons, Alberto Bueno and Tomasz Cywka caused havoc and Luke Moore opened the scoring for the visitors in the 19th minute.
Derby dominated a poor Doncaster side in the first half with former Rovers midfielder Paul Green controlling the game for the visitors.
Rams manager Clough might have been edgy to see his side fail to turn their dominance into more goals but when Commons capitalised on an error from Rovers debutant Joseph Mills to strike just before the hour mark the points appeared to be safe.
But leading scorer Billy Sharp drove Doncaster forward and the former Scunthorpe man had a hand in both goals as a quick-fire double from Dean Shiels brought the hosts level.
The Rams were not to be denied however, and the incisive link-up displayed all evening by Bueno and Commons opened Doncaster up for the latter's second neat finish, this time a winner.