The chaperone is an exotic shotgun with a painful PVP quest line that involves getting kills with an exotic hand cannon, The Last Word
I am sorry that I lied in my previous post about not competing in the Sparrow Racing League on destiny.
All you need to do is equip TLW and participate in a race. Each race gets you approx 3%, so it's a little slow but as long as you don't die you will get your 3%.
Also apparently you can also use 3oC and get exotic engrams for top 3 places (possible troll-has not been personally confirmed)