I've been a bit surprised not to see AT-STs feature in any lists that people seem to run. I've been running two of them and having a blast.
My last list was (from memory):
AT-ST
AT-ST
Probe Droid
Elite Officer
Officer x2
...plus plenty of Command Cards for Heavy Weapons and Vehicles. With extra movement from the Officers and an extra shot from the Elite Officer, this seems like a pretty scary list (people seem pretty scared by it). Last game I played with it, my opponent finished with only one surviving Trandoshan, and I'd only lost an Officer and one AT-ST.
So apart from the obvious (AT-STs are vulnerable to melee... so just move before opening fire) how come more people aren't running them? What's the weakness that I'm overlooking that must seem obvious to everyone else?