The 33-year-old arrived at Whaddon Road in 2002 and immediately set about enhancing his reputation as a hard-working, goalscoring midfielder with a series of match-winning displays - earning the club captaincy in the process.
A persistent heel problem meant he made just 11 appearances for the Robins last term, while a series of further injuries have limited his availability this season.
His future came into doubt last month when manager Martin Allen made Finnigan one of several players available for transfer due to Cheltenham's crippling financial situation. Yet he remains at the club, and although there is doubt over what will happen this summer as the Robins stare at relegation to League Two, he insists he wants to stay.
"I am going to keep my head down until the end of the season and keep working as hard as I can," he told the Gloucestershire Echo. "Hopefully then I can sit down with the manager and discuss it and see where we both think my future lies.
"It's difficult when things are up in the air, but I have a year left on my contract and I have always said I want to see it out. If other people have different ideas I might have to change that, but I am happy at the moment."