I've had that problem with the Port Sarim lodestone for ages. I really hope it's not going to start with the others now. Especially Varrock. I use that one pretty regularly.
Tried to take the lodestone to Falador, got stuck at 50% and now when trying to log in again, I'm still at 50% every time and it's not going anywhere. How did you get a mod to move you?
Edit: After several attempts and reloads, I chose another world, and then got in.
I got two words for all of you: SAFE MODE
Yeah, hold down 'S' on your keyboard while you're loading RuneScape. It helps insta-break the problem for me, and gets me right back in where I last got stuck.
On other notes, if they haven't fixed the problem with Mages and the Anti-Dragon Shield, I'm going to leave RuneScape forever (give or take the holiday events, obviously) upon the moment that I've got a game to move away to. Having an Anti-Dragon Shield is critical no matter where I go and/or what I do when combat becomes involved, and not having one is a permanent game-breaker for me, seeing as I'm a mere F2P.
Even further, I've been unable to complete Lady Deathknell's Combat Academy due to some other kind of glitch, so I'm unable to finish learning the combat system. This is another perma-game-breaker for me, and in addition prevents me from being ready for Dungeoneering, thereby blocking me from my 55 Dunge goal. If Jagex didn't fix it, it's one more reason on the fire for me to 'gtfo' forever.
Since we're in the note of it, I might as well add that Jagex's failure to give low-end fletching and Chaos RC'ing back to F2P has also become quite a reason to leave. F2P needs to be able to be more self-sufficient, and Jagex has failed in their thoughts of F2P being "the basic full game" in many ways, this being at least a couple.
At this moment, not having a suitable browser-based game and/or otherwise to move to is the only thing keeping me from leaving. If I try to quit without a reserve option, stress makes me break down and come back to RuneScape ultimately. I'm ready to call my existence a sad shame just because of this...
~D. V. "Stuck in the 'dead zone', you might say..." Devnull
(p.s.: Please pardon me ranting a bit... Jagex has really gotten on my nerves over the past many years...