I have brought US lamps to the UK. The sockets are rated 300W, but the cables are 18/2 gauge rated 10A/120V (UL rated, purchased 3 years ago).
What would happen if I ran 230V at 0.05 amp with a 9W UK Edison E27 bulb? The cables also have a switch on it.
I called several electricians and they all offered to replace the plug but not to rewire the lamp and said the amps were so low it didn't matter, but I figured I'd ask the group re: safety.