phallic chastity device
Intended as a broader, entirely form-agnostic version of chastity cage. Caring only if a given chastity device has the apparent intent to restrict subject's access to and/or function of a phallus that is part of the subject when the device is in use.
More simply: Does it seem like a present device is there to do chastity device things to a penis? (or other rod based sexual appendage) (regardless of if it is currently performing that function)
For the version focused on where phalluses often end up go see yonic chastity device