Clubb, 25, takes over as captain from Gower, who had held the armband since signing for the club in 2012.
Broncos coach Tony Rea said: “Tony has all the attributes of a leader; he’s been in the system for eight years, leads from the front and is a proud Londoner. He has other attributes the team can look to in the heat of battle.
“It certainly gives us an opportunity to share the leadership around. Craig as a play maker will always show the intensity to play the game hard and work hard – the change just enables us to have another dimension to the leadership.”
Clubb will captain Broncos for the first time when Castleford visit London on Saturday.