A pump and a pump-type product that can reduce the possibility that a first cylinder portion and a second cylinder portion are separated from each other during normal use are provided. In a pump 30 of the pump-type product 10, an upper cylinder part 50 includes a movement prevention part extending in a direction orthogonal to a direction indicated by an arrow 30 a, a lower cylinder part 60 includes a movement prevention part 63 a extending in a direction orthogonal to the direction indicated by the arrow 30 a, The upper cylinder part 50 and the lower cylinder part 60 are separated from each other by releasing contact of a movement prevention part and a movement prevention part 63 a of the upper cylinder part 50 by rotating the other relative to one of the upper cylinder part 50 and the lower cylinder part 60 in a rotation direction...