A dental cutting system for cutting a patients tooth comprises a cutting guide with a slot to guide a cutting tool. Opposing channels are formed in opposing walls of the slot. A sleeve is slidably disposed in the slot and has an enlarged collar slidably disposed in the opposing channels. The enlarged collar retains the sleeve in the slot with respect to an in-and-out direction and limits the sleeve to movement within and along the slot. The sleeve has a bore removably receiving the cutting tool, with the cutting tool being rotatable in the bore and slidable through the bore in the in-and-out direction, and into and out of the sleeve. The cutting tool has two transverse degrees of freedom, including laterally along the slot, and in and out of the slot and the sleeve.
