I filed a report on this matter with the makers of Toodledo, but I am curious if others are having the same problem:
My tasks updates that I do on my computer to the main site, are not showing up on the optimized slim version for the iphone until 2 or 3 hours later.
Also, if I make changes on the slim version, using my iphone, but loose the connection for any reason and have to reload the page, those changes are lost on the iphone. I find that the changes were recorded on the main site, but the main site does not update the slim version until 2-3 hours later.
As a result, it makes the slim version useless to me.
the slim version seems to use cache a lot. I think, that´s why the refresh icon in the app was introduced. yet, I sometimes find it not fully working on my iphone. a full refresh (via safari) still gets me out of most trouble from these "display" issues.