Wooden sideboard leaves oily film on glassware

My parents have a wooden sideboard that dates from the 1960s. I’m not sure what sort of wood; it may be teak.

The inside of the cupboards has a distinctive “sharp” smell, very hard to describe but I assume it’s something actually coming out of the wood, as any glasses left in there for any length of time become coated with a greasy/oily film and need washing.

This has happened for as long as they can remember and they’ve just put it down to a quirk of the wood, but they want to get rid of it and I might take it - but only if I can stop this problem.

Any ideas of the cause and/or a solution?

Sounds like the sideboard has been oiled regularly to preserve the wood. I guess you could put the piece in a furniture kiln to dry it out and that may stop the leaching of the furniture preservative onto your glassware, but then the sideboard would probably split and crack due to the dryness of the wood. One of the drawbacks of antique furniture.