Duncan: You lost me!― Duncan and Link, on the expediency of dealing with Agents[src]
Duncan was an operative involved in the mission to find and extract the potential named Hope, a girl gifted with the ability to freely change her digital self image within the Matrix. His ideas and actions were always opposed by the ship's operator, Charon, who disregarded his ideas as either being stupid or too simplistic.
When Duncan tried to console Charon after the death of Eight Ball, Charon chastised him about how he should instead be focusing on his job. And when Duncan suggested they wait for their captain to return before deciding the immediate next steps of the mission, Charon pointed out the risk of the Agents discovering their location while they wait. This pattern continued up to the last leg of the mission when he suggested that Link and Hope, being pursued by Agents, should ride the wires from the nearby cell phone tower towards the exit. Charon opposed the idea as the wire would not be able to support the weight. Link was fortunately able to rely on Hope and her abilities and, as suggested by Duncan, was able to successfully use the wire as guidelines, shortly succeeding in saving Hope from the Matrix.
It is possible Duncan liked Charon which, in turn, made Charon dislike Duncan; explaining why Charon was reluctant to be left alone with him.