Many of them don't learn much, and many more haven't picked up a medical journal since med school.
Yes, I'd continue cutting. It's tricky because they're so small, and once cut into four quarters, who knows what actual dose is in each? With T4 meds, it's not such an issue since the dose builds up in your body anyway and evens out over days or a week. But with Cytomel, you want to make sure you're not getting 25 mcg in one whack and none in the others.