Lex himself is in the same clothes he had arrived in Amrita in, having not gotten to all his supply cache just yet, just the gear he had. So he's in a loose jacket over a long sleeve tunic and trousers below it. Plus, of course, his magic gloves and boots. It's a bit of a culture clash of eras, if one cared to examine it.

That said,

"I wonder if he'd go with the word 'friend,' but yeah, I was sent by the guy. I would take it you're the jedi in question?"