Cocaine can be detected in the system anywhere from 12 hours to 4 days after use. The length of time cocaine stays in your system depends on the dosage amount ingested, the route of administration and frequency of use. When cocaine is metabolized, the liver turns it into benzoylecgonine, which is then excreted in urine.
BUT, if you chew gum a lot, especially if you have a lot of tension in the muscles of mastication anyways, you're going to have problems... The muscles that make the motion/act of chewing/clenching include the masseter, lateral/medial pterygoids, and the temporalis.
Tight closure of the mouth from uncontrollable spasm of the chewing muscles. Causes include TETANUS, disorders of the jaw joint, TONSILLITIS, QUINSY, MUMPS, tooth decay, PARKINSON'S DISEASE or ANOREXIA NERVOSA. Treatment is the correction of the cause.