Chicken, Dynamite, Chainsaw - Chicago P.D. (Season 2, Episode 4)

: They track the gun to a woman named "Miss Birdy," who informs them she threw away the materials the gun was wrapped in.

: Burgess and Roman are assigned to a gun buyback program but discover a weapon linked to a triple homicide.

The "paper" you are putting together refers to this evidence-gathering scene. Here is the context of the episode:

: The "Chicken, Dynamite, Chainsaw" game decides who has to go into the dumpster to retrieve the discarded items.

They use the game to determine who has to perform the unpleasant task of for evidence—specifically the paper and rags that a triple homicide weapon was wrapped in.

In Season 2, Episode 4, titled " Chicken, Dynamite, Chainsaw ," the phrase refers to a specific version of Rock, Paper, Scissors played by officers Burgess and Roman.