https://imgur.com/7UgfV8V

first thought,something to do with the hatting industry?????

Should of said its footprint brand. Looks as though it clamps on something

maybe a battery lifter       

Quotemaybe a battery lifter   

Would only be useful on a completely dead battery.

Well it ain't a nutcracker or a saw set so I give up.

A primitive mitre clamp ?

Reminds me of a compass or dividers - with some pointed sticks clamped in it could mark out a circle or measure/mark lengths. 

What about a tennis racket clamp ?

"Classic Coke can" is, well, just so obvious that I won't say it.  I just won't.

That's a head scratcher for sure.  Whatever it clamped came in varying sizes, since the halves could be closer together/farther apart, with those slots at the center.

Reminds me of a clamp on handle for a rod or pipe.

Wonder if it has something to do with band instruments? Musical? No?

It looks like a clamp for holding/joining pipe. I imagine a clamp like that would have been quite useful before modern fittings made plumbing connections easier.   

Found some links...

https://books.google.com/books?id=do9CAQAAMAAJ&pg=RA11-PA35&lpg=RA11-PA35&dq=&source=bl&ots=v6pkaH6i2n&sig=7r4DBncYINzg9OQK8_TU0_EeFPA&hl=en&sa=X&ved=0ahUKEwiutvzsl83bAhXCq1kKHV4HDFAQ6AEIYDAM#v=onepage&q=%20&f=false

https://www.gracesguide.co.uk/Thomas_R._Ellin

I am always amazed at this forum.  Plumbers Clamp wow.

Here is another picture of one.