A cloth holder stacker includes a first cloth holder and a second cloth holder. The first cloth holder includes a first base including a first bottom, a first platen to hold a first cloth, and a first clearance former mounted on the first bottom of the first base. The second cloth holder includes a second base including a second bottom, a second platen to hold a second cloth, and a second clearance former mounted on the second bottom of the second base. The second clearance former defines a clearance between the second bottom of the second base and the first cloth held by the first cloth holder when the second cloth holder is stacked on the first cloth holder.