My best time on Claymore is 1:56.92. That was actually my score the first time I did it. I feel I'll be able to improve that score given practice, however. I did it a second time but actually did worse, finishing in a little over 2 minutes. I hardly used the flying power at all that time, however, which undoubtedly accounts for that.
I've not been to Gass Umbra, having not yet purchased the full version (something I intend to do ASAP!)
Claymore was probably my favorite planet in the demo. That music sends shivers down my spine every time.
EDIT: My time is a little better now, by just three seconds or so. I'm convinced I can do better... but I keep making silly mistakes like forgetting to go to one of the checkpoints, or failing utterly at using the flying goop.