Yeah I agree there should be a way to start and stop the logging, because it just runs all the time now. What you can do to clear the graph before you start is hit the special URL
/admin/lm/stashdb?reset=1
Which clears the database. Again this is something I'd like to have in the UI, as well as a way to "trim" a stashed database. Currently if you want to stop the logging, you can either stash the database at the time you want it to stop, or stop the linkmeter service from System -> Startup. You can still see web pages and the last update but the log stops being written.
The running timer is a good idea, I'll put that on my list.
I'd like to expand that degrees per hour thing to do more like you said. I'd like to use the alarm code built into heatermeter as the target for these points instead of being hard-coded like they are now. All the probes have high and low alarms currently, there's just no way to turn them on because I haven't tested them (despite adding them like 6 months ago!). There's also a pin on the AVR used for an audible alarm which hasn't been tested either because I'm not sure how to drive one of those little piezo speakers properly, or what part to buy from the 1,000s they have at Mouser.
But back to the alarms, I'd like to see it that when the alarm triggers you not only can have a sound, but also an email or call a web url to the notification service of your choice (twitter? Maybe I've never used twitter). Also I'd like it to have the ability to change the setpoint when the alarm triggers. Like when the food probe 1 temperature hits 195F, cut the setpoint to 180F or something.
EDIT: Also, I'm out of town again until next Wednesday 7/13 so everyone have a good weekend and keep the good ideas coming! (Also I pushed up a new version that has a slightly nicer stash list, and the ability to get the log as a CSV export!)