This is really quite interesting and something I hadn't thought too much about being that UV is used to break down VOCs in certain settings.
After reading this I grabbed a UVC lamp and a VOC detector and in a totally non-scientifically controlled space(a room in my house) I closed it all up and turned on the lamp after reading the VOCs for a bit. The VOCs dropped at first, but then started climbing steadily back up to where they started by about 20 minutes. I turned it off at 30 minutes and aired out the room.