He played junior football for Ashburton Redbacks alongside future AFL stars Tom Mitchell and Jack Viney.

He was nominated for the AFL Rising Star in 2012 award but was ineligible to win it due to being found guilty for a bumping offence earlier in the season.

Greene was critical in the Giants' wins over eventual grand finalists Geelong and Richmond with four- and five-goal hauls, respectively, in victories.

[10] During Greene's playing career, he has received a total of 22 AFL Tribunal charges or match review panel citations, six suspensions, and nearly $30,000 in fines.

[13] During a one-point victory in the second elimination final of 2021, Greene was reported for making intentional contact with umpire Matt Stevic and was subsequently suspended for three weeks.