The gecko had been homed since December in a purpose-built enclosure which mimicked the peninsula environment.
Museum staff and members of Te Runanga o Otakou wanted to get to know the gecko before choosing a name, Ms Botting said.
''We know he's a bit cheeky.
''He is very personable and he definitely acknowledges and responds to staff members.
''He has favourites and he has his least favourites.''
Members of the public could get inspiration for names by visiting the museum, or voting online.
Museum visitor Cameron Burrows, 10, of Dunedin, believed George suited the jewelled gecko's demeanour, while his brother Scott, 11, thought Patches was an apt reflection of the lizard's appearance.
The last named animal at the museum was Eric, the giant gourami fish, who was a popular fixture at the museum until his death in 2004, Ms Botting said.
Entries close on May 19.
The public would then vote on three names selected by museum staff and Te Runanga o Otakou representatives.
The winning name would be announced on June 28.