According to council records, the Glenrowan Rise house was first issued a consent in 1996 and during that year, foundations, a garage floor slab and drainage were completed.
In 2009, cladding had still not been completed and building wrap had been installed.
Residents said that in the last few weeks most of the exterior had been clad in bricks.
There were still obvious unfinished areas when the Bay of Plenty Times visited yesterday.
The owners were not at home and their phone number was unlisted.
Neighbour Zenda Johns has lived in the area since 2000 and said that she had signed the petition because the house was a "bit of an eyesore".
She was pleased about the work carried out in recent weeks.
"You drive up the street and see this house. It's in a prominent site," she said.
"I don't know what the owners' reasons are why it's not finished or why it's how it is.
"Hopefully by signing the petition it will encourage them to get something done."
Another resident, who did not want to be named, said she and her husband had lived in the neighbourhood for two-and-a-half years and the incomplete property was "awfully messy".
"One of the neighbours in this area has been very upset about it," she said. "The owners have tidied it up immensely.
"The place has just never been finished off, people would just like to see it tidied up."
Councillor Steve Morris (pictured left) pointed out that he had been sitting his School Certificate when the Glenrowan Rise house was being built.
"It hasn't finished since then. I have no doubt it would have affected the saleability or prices of nearby homes," Mr Morris said.