False, there are people with TS clearance who regularly see psychiatrists. This is one of the misconceptions that is left from the policies of 30 years ago. Other examples include homosexuality and past drug use, both of which formerly precluded you from a clearance but no longer do.
And think about it. These things precluded clearance because they were seen as things you didn't want made known. The idea is that if you were engaging in homosexual activity this could be something that a foreign power could blackmail you with to get you to turn over secrets.