Teardrop and Needle were shown to be good friends throughout the series. They are possibly friends only because Teardrop can't talk, meaning that she has never called Needle "Needy".
Episodes suggesting a friendship
In most of the episodes with them, Teardrop and Needle are standing next to each over.
In The Glistening, Needle asks Teardrop to help voting out Firey after Needle tricks him, Teardrop helps her in this.
In Return of the Hang Glider, when Needle voted for Firey to win, most of the contestants have slapped her, but not Teardrop.
Episodes suggesting a conflict
In The Glistening, Teardrop isn't concerned about Needle not rejoining the game.