Hi Maria, I know that certainly some of the graduate programmes require 5yrs of continuous UK address history due to the security clearance required for the nature of the role, though there may very well be some that do not.
I recommend that you take a look on the Job Descriptions in order to ascertain which do not have this requirement. It will be clearly stated on there and also please note that if it only requires BPSS clearance, this is not the same as SC and you are eligible for this as it does not have the 5yr UK requirement.
Hope this helps and good luck!
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