Using personal version *from* a work computer

I don't want to use TeamViewer commercially, but I sometimes leave my home PC turned on and want to use TeamViewer to see it from other machines. One is my own laptop, which I'm assuming definitely counts as personal use. Another is my office computer, where I just want to see my home machine, rather than remote into the office.

Is it still personal use to install TeamViewer on my work machine so that I can see my home computer? I wouldn't be using it to view an office machine.

Incidentally, is there a client-only package that could be used anywhere without providing remote access to the machine it's running on?