A conduit cleaning or clearing apparatus and method has a housing assembly connectable to a pipeline. The housing has an inlet and outlet leg joined by a bight portion. A cleaning member is rotatably disposed within the housing and may be rotated from a first unobstructing position to a second cleaning position. In the cleaning position, a plurality of spaced apart blades are able to contact and loosen any build-up in the bight portion. A wiping paddle on the cleaning member urges the loosen build-up out the outlet leg and through the drain line. The paddle cooperates with a locator seat on the housing to retain the cleaning member in an unobstructing position when not cleaning or clearing the bight.