I have an old Hameg HM 605 that does strange things when it's moved or the top circuit board is pushed on/flexed only a tiny bit.
The X-POS knob can be pulled out to switch to 10X mag and it's connected to a long rod that connects to pot/switch. This puts allot of stress on the solder joints because it pries it back and forth. Originally the plastic thing that joins the rod to the pot shaft was very badly repaired and it was off center so the pot rocked back and forward a tiny bit by simply turning the knob. I've since fixed that.
Here's what it does...
The trace will move left and right just fine sometimes but eventually it will start compressing along the right side of the screen the more I mess with the X-POS knob or sometimes even when I turn the TIME/DIV. knob all to the way right.
Pulling on the knobs associated with the top circuit board, pushing up or down on the circuit board (the cover's off at the moment) or even just propping one corner of the scope on something so it just slightly twists the whole machine will eventually make it go back to normal. Clicking the X-POS/MAG.10X knob a few times sometimes does the trick.
Here's a video of me moving the X-POS knob while it's working then I put a few mm thick SD card case under the right corner so that it' no longer level and the whole thing goes wonky.
http://1drv.ms/1kkrKXRIt's built very similarly to the one Dave worked on in this video
impossible to access the bottom of the boards without allot of fiddly work.
ALSO:
probably not linked to the other problem, sometimes when it warms up the slightly hummy transformer starts buzzing louder and I get a trace that jitters around a bit or even sometimes gives me a little downward dip. I've only ever heard a sound like that before, but a bit louder, when I connected a bridge rectifier incorrectly

Maybe the power supply caps are going bad?
It goes away if I turn it off then back on.
Here's a photo of the bottom of the board where the X-POS pot/X10switch is soldered. The one thicker solder fillet looks weird.
I SO don't want to remove this board. There's a ridiculous amount of rods and even three wires soldered directly to it that would make it difficult to disassemble. Of course if it gets worse I'll have to take it apart.
Could it just be a bad solder joint in the area of the X-POS, the HOLD OFF and the TIME/DIV. pots and switches that does this because pushing in that general area will case or fix that strange behavior?