I have no specific knowledge regarding the exact chemicals involved here, nor have I ever seen an MSDS for this stuff. Now, that said:
I used to work for a laptop manufacturer doing support, and we were instructed that in the event that a customer ever called reporting a leaking LCD we were to IMMEDIATELY tell them to hang up the phone, call emergency services, and get a hazmat team onsite, while we escalated the call to our internal dedicated safety response team. That seems like a pretty harsh response (it's more severe than what I would have been expected to do for anything short of "My laptop set my house on fire") so I'm inclined to think this stuff isn't especially safe. It may be true that it's only a hazard if ingested, though; based on my semi-limited knowledge of the chemistry involved that seems possible. If it were me, though, I'd take the extra cautious route just in case.
(In practice, this basically never happens short of a severe puncture like a blade would cause because of the way these things are manufactured. I've actually never personally heard of a situation where an LCD was leaking short of taking a bullet.) EDIT: Let me just make this stronger. This hardly ever happens, ever, anywhere, ever - it's designed to prevent exactly this sort of problem. Unless you actually witness it in action there is probably no reason to worry about it. See further discussion in comments.
3Why do you keep it around? I'm assuming it doesn't work properly anyways? – James Mertz – 2011-08-16T17:57:21.587
1It is my laptop LCD display and the laptop works fine. I can use an external monitor for the time being and will replace this one soon. – L84 – 2011-08-16T18:02:17.667
You should be able to just remove the screen then and toss it out. Then replace when you're ready. – James Mertz – 2011-08-16T18:09:32.527
True, now any recommendations for good tutorials for removing (and installing) LCD Screens? I have a Toshiba Satellite 235D – L84 – 2011-08-16T18:34:14.463
5They're full of nargles and blethophobs and jimcracks, and worst of all, you'll find the jabberwocky inside them. Run! Run for your lives!!!!! – music2myear – 2011-08-16T19:15:13.097
1@music2myear Thank you for identifying the "things" making all these weird sounds coming from the screen. That really explains lots, now that i think of it. What do I feed these nargles, blethophobs and jimcracks (do you mean from the gym?) and the jabberwocky was always kind of gross, if you ask me. Nevermind, Bat Signal is on => – L84 – 2011-08-16T19:31:29.393
@music2myear noise2myear – Pacerier – 2011-08-18T12:41:21.147