A well known phenomenon, regenerative machine tool chatter, is studied from an unconventional perspective. The fundamental reason for this undesired sustained oscillation is the selection of the cutting parameters such that the tool/workpiece interface acts like a resonator. Pure time delay which appears in the governing dynamics yields transcendental characteristic equations which possess infinitely many roots. The dominant roots among them should be searched. This work addresses the problem with a parallelism to a recent active vibration absorption methodology: the Delayed Resonator. Pursuing the root locus plot analysis it can be shown that the chatter can be reached for any cutting speed for a particular chip property. Very critically, we show that there are speed and chip width settings which yield regenerative chatter with dual frequencies. This particular feature parallels the basic claim of a recently patented technique for dual frequency vibration suppression.