Kinda looks like a bellows but if not that...then for squeezing something...fruit maybe? ~ It looks quite familiar too... To make cider or squeeze oranges?
I thought the same but no holes on sides where bellows would have been. I thought a juice press but couldnt find one like it?
I've been googling fruit press also.....but as for you nothing like it appears. Here's hoping someone will know. It's very interesting. I love old wood.
I think the nearest suggestion is for pressing curds to remove the whey in home cheesemaking. People made up tools out of what was handty which was mainly wood.