I was affiliated with a graduate department in language and information sciences, and the fields of the faculty and students ranged from literature, history, and philosophy to theoretical linguistics and natural language processing. I don’t recall any students doing hardcore CS, but it wouldn’t have been inconceivable, especially if there was an NLP connection. But the academic culture of the department leaned more toward the humanities and social sciences than to science and engineering.
One of the factors making the finish-in-three-years target very difficult to meet is that the thesis committees would include faculty from different fields and backgrounds, often with differing expectations for what a Ph.D. thesis should include. It was not unusual for a committee to ask a student to make a variety of substantial changes and additions to a thesis draft before submitting. That revision process could take six months or longer; because of the schedule for graduate coursework and defenses, that alone would push the student beyond the three-year target.
Add in all of the other stumbling blocks that might come up in graduate school—family issues, financial problems, an advisor who retires or gets ill, etc.—and three years was no longer a realistic goal in that department.