Slitting rhymes with:
flitting, splitting, acquitting, admitting, befitting, bitting, committing, emitting, fitting, flitting, gritting, hitting, knitting, omitting, permitting, pitting, quitting, refitting, resubmitting, sitting, spitting, splitting, submitting, transmitting, unremitting, unwitting, whitting, witting
Slitting sounds like:
salting, saluting, scalding, scolding, shackleton's, shackletons, shelton's, shielding, skeletons, slating, sledding, sleuthing, sliding, slotnick, slotting, slowdowns, solutions, sultan's, sultans