[4] Wood attended Geelong Grammar School on a dual academic and sports scholarship, after being recognised for his talents in cricket.

[5] Wood came to the attention of Bulldogs recruitment manager Scott Clayton after his performances in school football as a medium-sized running midfielder with a strong leap.

[9] After being drafted by the Bulldogs in 2007, Wood required a shoulder reconstruction, and soon after a screening for lymphatic cancer, meaning he spent the 2008 season on the sidelines.

Wood made his debut in the Western Bulldogs 5-point loss to the West Coast Eagles in the 19th round of the 2009 AFL season at the Etihad Stadium.

Wood played in the Western Bulldogs' pre-season premiership win over future grand finalists St Kilda, by a solid 40 points.

After being named as an emergency on 7 occasions he broke into the team in round 12, collecting 16 disposals, 4 marks, and 5 tackles, proving his worth in the side.

[13] After playing 9 consecutive games, Wood suffered a hamstring injury and did not return to the side until the Bulldogs 5-point semi final victory over Sydney.

[17] Wood had a career best game in the Western Bulldogs' 27-point win over Carlton, picking up 17 disposals, 7 marks and 6 tackles.

Wood injured his hamstring in the early stages of the Bulldogs' 67-point loss to Richmond in the 3rd round of the 2013 AFL season.

[30] Wood had 19 disposals, 7 rebounds and 9 marks in the Bulldogs 7-point elimination final loss to Adelaide, in his last game of the season.

Wood was named to replace the injured Robert Murphy as the captain of the Bulldogs,[38] and in this capacity led the club to premiership success in the 2016 AFL Grand Final over the Sydney Swans.

He had one of his best games in his career against Collingwood in Round 10, kicking 1 goal, taking 13 marks and collecting 21 disposals,[40] one of the Bulldogs best on ground.

In 2017, Wood returned to his role as vice captain after Bob Murphy recovered from his injury and continued playing.

[50] Then, in the Western Bulldogs' 57-point loss to Port Adelaide, he got a major hamstring injury[51] and did not return to the team until Round 22.

[52][53] Wood stated at the conclusion of the season that although he was injured, the time off 'enabled him to gain a greater perspective of the bigger picture – including the development of the Dogs' youth.

Wood had one of his best games ever in their 27-point loss against St Kilda, picking up 23 disposals, 1 tackle, 4 rebounds and a remarkable 10 marks.

Wood showed off his high pressure playing style, completing 139 One-Percenters, taking 100 marks and laying 31 tackles throughout the year.

On 22 October 2021, Wood announced his retirement after 188 games, the main cause being cited as his constant soft tissue injuries.