An incarnation of the Doctor stole a teleport bracelet from Android Assassins who had captured him. It had lost its power to teleport, but as the Doctor was nanoseconds from getting killed, he channelled their blasts of energy meant to kill him into his sonic screwdriver and into himself, and before it could kill him, used the teleporter that had recharged by their blasts to teleport away, thus saving his own life. (TV: The Witch's Familiar)
Novice Hame carried a teleport bracelet on New Earth in the year 5,000,000,053. She used it to teleport herself and the Tenth Doctor from the motorway to the New Earth Senate. This teleport caused discomfort for the Doctor, who refered to it as "rough". He asked Hame to go back and teleport the people out of there, starting with Martha Jones, only for Hame to reveal that she only had power for one trip. She was, however, able to use the bracelet to turn on the lights in the building. (TV: Gridlock)
Behind the scenes
Following the device's debut in Gridlock, the term "teleport bracelet" was first used in Voyage of the Damned.