Hi Robert,
I recently built the clarinet too and have been enjoying that build/purchase. I did the recommended upgrades to the jacks and auricaps. The sound that I'm getting is really excellent but like most others else, I'm always looking for better.

I've been considering changing the final output caps to an oil cap...hadn't gotten to a particular brand yet to warm up the sound just a smidge. I hadn't really considered changing the pot. For $3, it might very well be worth starting with that pot and then upgrading later. You'd know for sure if it made a difference.
The other item that I'm looking forward to playing with is the tubes. I bought a GE 5Y3 and Amperex 12Au7 to start with which are pretty nice tubes but I've heard that the RCA 12bh7s are a nice change to the 12au7. I want to play everything as is for a while and feel comfortable with the sound before making changes. I'll post up when I've tried a couple things to let others know how that turned out.
I'd love to hear how your mods turn out too.