unlikely unless your pets decide they want to stick their paws in the anode,in any case most models built after 1990 have a discharge circuit built in to the flyback(unless it's a crappy chinese built monitor)
So it's perfectly safe for me to be around the back of the monitor (with it turned off and unplugged) and be doing wire management and can even touch the anode cap/suction cup and not get a shock at all??
The chassis is a, Pentranic CGA 15khz Chassis CH-288-S26A not sure if it was built before or after 1990 though, it's brand new however, how long should it take to discharge itself if a circuit is fitted?
Also is it common for new monitors to smell of burning for a while?, had the monitor on about 5-8 times so far in short stints (10-15 mins) and I can still smell burning.