What is the value of 1 carat of chip diamonds?

The value of anything is worth what someone will pay you for it.

Your term 'chip diamonds' assumes that this collection may the residue from diamond cutting in that the chips are not faceted. If true, these, then may have value to a jeweler who can use them as chip accents, or they may have value as industrial diamonds, which one can purchase inexpensively by the pound because the stones are not gem stones.