Well ive tried it, The Problem: The Suit is a 1-Part body wear. Most Characters use lower and upper wear so you can't use the Outfit. I've found a Character named Lillian, tried it out but my game crashed every time i wanted to view it in the Gang customization. Some Help would be awesome. 
(Remember, the Specialist Suit in your Wardrobe, not the silly one with rollerblades)

(Remember, the Specialist Suit in your Wardrobe, not the silly one with rollerblades)