Yes, PCC is an interesting regent. Mild oxidixing agents, such as pyridinium chlorochromate, can oxidize the 3-hydroxyl azetidine to the ketone,
azetidine-3-one, leaving the ring intact. (This is one of the steps for one of the synthesis routes for TNAZ)
Of course, the pyridinium cation has nothing to do with the actual reaction, it only makes the chlorochromate soluble (actually a suspension) in organic solvents.