Columbia University has a faculty that is generally perceived as left-leaning, with several prominent professors known for progressive or radical views, though the extent and uniformity of this leaning vary.
Columbia had far left-leaning professors.

Declining political diversity among faculty leaves students with fewer conservative perspectives
Source: columbiaspectator.com
Key Evidence
SocialistWorker. Org notes several prominent left-wing professors at Columbia,
socialistworker.orgsocialistworker.orgRadical Columbia and Columbia Spectator describes the university as a liberal bastion with declining political diversity among faculty. Broader studies on U.S. Academia confirm a general liberal tilt among college professors.
nas.orgnas.orgWhy Are Most College Professors Liberal? New Studies Investigate
What the Evidence Shows
The claim that Columbia had far left-leaning professors can be broken down into two components: the political orientation of the faculty and the prominence or influence of such professors. Multiple sources indicate that Columbia's faculty includes professors with left-wing or progressive political views. For example, SocialistWorker.
Org describes Columbia as employing several prominent left-wing professors, suggesting a notable presence of radical discourse on campus.socialistworker.orgsocialistworker.orgRadical Columbia Additionally, student perspectives and media reports have characterized Columbia as a 'liberal bastion,' reflecting a campus culture and faculty environment that leans left politically.
However, this does not imply that all or even most professors are uniformly far-left; rather, there is a trend toward liberal or progressive viewpoints, which aligns with broader patterns in U.S. Academia.nas.orgnas.orgWhy Are Most College Professors Liberal? New Studies Investigate Some controversies around specific professors, such as Joseph Massad, who faced criticism for his views on Middle Eastern politics, illustrate the presence of politically charged perspectives but also highlight campus debates and pushback.
The claim is nuanced because while there is evidence of a significant left-leaning faculty presence, the term 'far left' is subjective and can vary in interpretation. Moreover, Columbia remains a large institution with diverse academic disciplines and faculty members holding a range of political beliefs.
Therefore, the claim is mostly true in that Columbia has many left-leaning professors and some with radical views, but it should not be overstated as a uniform or monolithic characteristic.