If the player clicks on it, it leads you to the School of Dragons' Map.
Before an unknown update, there used to be a pedestal-like structure with a sign saying "TAXI" and a curling horn above it; on said structure, there was a light sepia colored Timberjack landed on it (commonly called Stokehead). Said pedestal with said Timberjack was in every location, always close to where the player would be teleported to.
The Taxi was used as a way to travel throughtout locations, because, traveling via the World Map used to be for Premium members only. It was quite useful for players with Baby and Teen dragons.
If the player clicked on the Taxi Pedestal, a menu with "Choose your Destination". This menu can still be recieved if the player flies away from the location they are in, as a way to also fast travel in between locations. One big difference that was removed was that doing this so would remove a few bits of Energy Points.
After choosing said destination, the player will be teleported to an open sky area, riding the Timberjack (or with their dragon) and, go through flying rings (this was optional, however) until a ring with the Destination's Image appears. This was useful for players to pratice and control flight, despite the Timberjack being a quite fast dragon.
However, said rings got removed after an unknown update, making the teleportation even faster.