There are four levels of security clearances, confidential, secret, top secret and Sensitive Compartmented Information (CSI), the latter being restricted to officials in the highest positions in the intelligence community.  Flynn would have been cleared for all as head of the Defense Intelligence Agency and retained his security clearance even after being fired by Obama.  There is no such thing as a broader White House security clearance.  That is something being concocted by the media.  The only thing broader might be the background investigation, but that does not create a new security clearance level nor does it change the level of security clearance issued to Flynn by the Obama administration.  Trump did not lie about Flynn’s security clearance.  The only lie is what you read in the media.