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Arm carry scenes are very common on Sleepyycomics.com. It is usually paired with the 'unconscious' tag, making it an "unconscious arm carry". However, an arm carry can stand on its own.
By definition, an arm carry involves a person using one or both arms to 'carry' the victim. Usually, the victim's feet should not touch the ground.
An example would be a hero rescuing a damsel by carrying her away from a dangerous situation.