Appreciate you're new to Basschat so welcome and apologies for the seemingly late reply but some topics get more 'traffic' than others and it depends who's around to answer specific questions.
Personally, I've not been on BC for a while (just busy) and just spotted your posts, but in answer to your question, you might try the Jim Dunlop 65 series of cleaning products (including lemon oil).
Nice TWB43 btw π. It just so happens I recently picked up another Tune, a TWB4Z (w/piezo pickup), right here on Basschat. They're excellent basses. Hope you enjoy yours π