I wonder if this is related. I do have a Lenovo ThinkPad X220 Tablet: https://wiki.archlinux.org/index.php/Touchpad_Synaptics#Cursor_jump
"The original configuration renders the touchpad quite useless, as it behaves very jumpily." -- https://wiki.archlinux.org/index.php/Lenovo_ThinkPad_X230#Touchpad
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+"Using Ubuntu 12.04, 64-bit version, installed on Lenovo X220 laptop. Fresh "default" install and settings configuration. When the laptop is plugged into a power source, the touchpad's onscreen cursor (the white arrow that shows position) shakes excessively when trying to use the touchpad to control the cursor." -- Bug #1028617 “Cursor shakes violently when connected to power so...” : Bugs : “xserver-xorg-input-synaptics” package : Ubuntu - https://bugs.launchpad.net/ubuntu/+source/xserver-xorg-input-synaptics/+bug/1028617