You might try Gel-gloss which is sold at Home Depot. It's made to polish marble and other fine home materials. I've usee it on all my cars(with and w/o clearcoats) over the past 15 years. Try an inconspicuous spot first because it may dull the wood shine finish.
You could also check with a BWM dealer.
2004 E60 530is, Delivered 12/12/03, TiSilver/LGrey, PP, SP,PS, PDC, ACC, FRS, Step, Xenons, clear bra, body colored rear inserts. (Retired, 1983 henna red 320is)
2004 Corvette Z06 Commemorative Edition