It's not a leatherworking tool or a tap and die tool.

I don't own it and scraped the pic off of the internet so I don't know the overall length. For scale, I would assume the wooden "bulb" fits inside of the average palm/hand.

And old dentist tool used to pull teeth? Idk just a swag

Remind me never to go to your dentist.

You sure you don't want to give it a try?

And yes, that is my dentist!

Dr. Hooter?

It's some kind of extraction tool, but it is not used in dentistry. (And I wouldn't want to extract from your dentist, for the record.)

A small bearing puller or seal extractor

what ever it is extracting must fit onto something cause of the center punch.

C'mon...y'all got this.

Tool used to pierce big jim