How do you clean a tube amp socket?
Apply a little bit of red “De-Oxit” or other high quality contact cleaner (must be safe for plastics) to the pins of the tube. CAREFULLY re-insert the tube, and “scrub” the socket by carefully removing (almost but not quite all of the way out) & inserting the tube several times. That's it!
What should you not touch in a tube amp?
To be pedantic, you can touch the caps, but not the leads connecting them to the circuit. Mostly, it's best not to touch any bare wires at all until several minutes after the amp is unplugged. But no matter what, if you don't know what you're doing, unplug the amp.