I think one of the reasons HowdyH likes the term "cheque" rather than chip for the things casinos use to play the games with work like a 'hat cheque' did (back when men actually wore hats everywhere). It's a receipt for something, and if you return it, you get back the thing you checked (checqued).

The casinos (at least some of them) claim it's just a short-term receipt for your money to make the game easier to play. You don't buy it; you don't rent it; you use it to play the game in their house.

That's the rationale, anyway. Except for roulette chips, most Nevada casinos haven't made a big deal of this, but I suspect that's why the paragraph on ownership of table chips is in the Nevada Gaming regulations.