The James Webb Space Telescope has a complicated deployment sequence. Beyond data from sensors aboard the spacecraft, does it have any cameras to take pictures of the process?
As of now, it does not and that's not likely to change. I asked this question of leaders of the JWST project at Goddard Space Flight Center. It isn't that it wouldn't be useful, the problem is funds and time. Considering the current cost of the project, any new addition would increase the cost and could impact the scheduled launch date of October 2018.
The camera would need to work in a vacuum. Is MLI (multi-layer insulation) sufficient to keep it's temperature in its operating range? How and where would you mount it? Would you need to supply artificial lighting? Where would you find the bandwidth to send the images back? Resolving these issues would require resources that are in extremely short supply now.