Defenceman Gustav Forsling was sent to the Blackhawks organization in return.
Clendening has played in four NHL games this season, scoring a goal and adding an assist for Chicago.
He has a goal and 12 assists with a minus-4 rating in 38 games with the Rockford IceHogs of the American Hockey League this season.
The 18-year-old Forsling was selected in the fifth round of the 2014 draft by Vancouver. He has three goals and two assists with a plus-5 rating in 35 games with Linkopings HC of the Swedish Hockey League this season.