There are a few companies operating here, who will take you up onto the glacier itself - being a cheapskate, I didn't do this - I just parked (for free), and walked around to the glacier.
There is a sign advising not to travel any further. This sign appeared to be getting ignored by 90% of visitors... so against my better judgement I ignored it to - but kept in mind if a rock fell on my head... it would be all my own fault.
Honestly - I'm not sure why they say you can't go further - you need to be sensible... the path stops there, so it's a bit more "touch and go" how stable the ground is, and I did have one potentially hair-raising moment where the ground partially gave way under me... but it wasn't anything too serious. I'd have ended up looking like an idiot... not dying!
As long as you exercise some common sense, and don't go on the glacier itself without a guide - it all seemed pretty safe to me.
I walked back along the lagoon/river flowing from the glacier along the bottom of the canyon, rather than back along the well-trodden path - which gave a quieter walk, nearer the icebergs.More