Methods, apparatus and associated devices for rucking sleeves of covering material onto a chute body include a translating member disposed in a housing having an axis of movement configured to reciprocally translate a chute body about the axis of movement; and at least one gripping member disposed in the housing in cooperating alignment with the translating member. Each at least one gripping member has a gripping edge portion that defines a gripping surface. The at least one gripping member configured to reciprocally translate substantially orthogonal to the axis of movement. In operation, the at least one gripping member has an automated stroke cycle whereby the at least one gripping member is configured to travel inwardly a distance sufficient to snugly abut an outer surface of the chute body while the chute body travels in a first direction about the axis of movement and to travel outwardly a sufficient distance to prevent contact with the chute body while the chute body travels in a second opposing direction about the axis of movement.