I expect that Obama will have weekly, or even daily, press conferences & speeches as part of an effort to “resist” Trump. Look for those to get lots of coverage from the MSM and on-air discussion by pundits. I also expect that many Obama supporters have burrowed deep into the bureaucracy and it will take a lot of effort to root them out. These people will probably take direction from Obama first. They may also be compensated financially too (under the table).
of course if the mossad takes him out he will not be saying anything
I’d go further, watch for him to get his own Sunday morning TV show somewhere, and become a regular on several stations (CBS, NBC, CNN, MSNBC).