Your question is legitimate.
But, as we learned with former Director of the C_A, John Brennan, the RULE is that former Directors are allowed to keep their clearance and all that goes with it subject only to a review every 5 years and the condition that they conduct themselves in the fashion of a current C_A employee.
We must assume that Presidents are extended some similar access to intelligence.
My question is this:
How many people who were either elected, appointed or career bureaucrats receive this courtesy?
What are the RULES for each of them to keep their access to intelligence?