Palm rejection on my ThinkPad T460s trackpad can be a little wonky. I'm trying to figure out if it's a hardware or software issue. Sometimes I have to set my palm into typing position and then lift it up again to make the trackpad responsive. I'm suspecting a short in the trackpad.
@machias ugh I had a hell of a time with that on my T440p. I gave up and swapped the ClickPad out for a T450 touchpad, and that helped, but the libinput drivers have come a long way.
Make sure you're using xserver-xorg-input-libinput and NOT xserver-xorg-input-synaptics. I found that trying to remove the Synaptics package always wanted to remove too much. so I would do:
mv /usr/lib/xorg/modules/input/synaptics_drv.so /usr/lib/xorg/modules/input/synaptics_drv.so.bad
and then restart.