By some accounts, KIM KARDASHIAN and KANYE WEST have had an on-and-off thing for years.  And now, KRIS HUMPHRIES wants to know if it was ever ON while they were married.

A source said, "Kris absolutely wants to know if Kim spent money on Kanye while he was married to her.  If Kim took Kanye out to dinner, bought him any gifts, etc., Kris wants to know how much she spent, if anything at all. "Under the law in California, Kris is legally entitled to that money and he deserves it, if it can be proven."