A group of blue skinned iguanas with yellow eyes are the residents of the Land of Frost and Frogs. They were not initially given a name in-story with only an outside source confirming them to be iguanas, until Myststuck where they were confirmed in-story to be iguanas. They are Jade's consorts, but she has not had any interaction with them as of yet. Iguanas were seen so far as part of Rose's complacency, and , wearing Jade's Green Sun bedsheets, brought Rose a magic cue ball. The spikes on their backs might be related to Jade's Denizen Echidna and her Quills. Otherwise they look quite similar to the salamanders of the Land of Wind and Shade. Their onomatopoeia is "thip" and seems to relate to their rapid tongue movement.
Statues on the Land of Sand and Zephyr suggest that Tavros Nitram's Consorts were iguanas as well. This seems especially likely since identical looking statues were seen in a cave on Land of Frost and Frogs.
Depictions of iguanas can be seen on the wall in Frog Temple, along with the other three consorts of the kid's session.
On a side note, it seems that only one of the igauna's spines have bone, since only one appears in the skeletal version of the consort. The secondary spine could possibly be made of cartilage or similar material.