Should retired/replaced government officials retain their security clearances after leaving office?

I think everyone feels that they need their clearance during an appropriate transition period, where you may be called on to assist with a matter that you personally have knowledge about. But regardless ... you have to have a NEED to know. So what does a former member of the govt or military need with a clearance except to make money? If a contractor needs a clearance to work on secure pieces of gear, that's their mission to make it happen. These State Dept wonks have no business keeping their fingers in the pie.

Only so long as the agency needs their continued advice or they could possibly transition to another position that needs the clearance.
If their insight is no longer needed or they were fired / asked to resign then the clearance should be removed as part of their out processing.

If you are fired from a job do you get keep access to business networks or accounts. I don't think so. This is just more of the "elite class" trying to help one of their own to cash in on state secrets and it is very distasteful.

I can't really choose from any of the choices you provided, here is why.

I am a former Asst. Security Manager within the Navy. This is how the security clearance process is supposed to go (it's a little long). Remember, the agency overall responsible for the security program is the Office of the Director of National Intelligence. They set overall process AFTER the laws and executive orders are done. After which, each department set their policies to either meet or exceed that of the ODNI, EOs, and Laws.

After all that, here we go:

1. ANY position within ANY department of the federal government that may gain access to classified must apply for a security clearance using the SF-86 (paper) or the eSF-86 (eQIP).
2. Each person is investigated to meet certain criteria. You may see an agent, for an interview, from OPM, DoD, or DoE (these aren't the only ones). Each contact (friend, family, etc.) that you have listed will also see that same agent.
3. After the investigation, a person's background information is adjudicated by an adjudicator at one of the Central Adjudication Facilities (DoD CAF) A unfavorable adjudication will kick off other things too long to list. A favorable adjudication will all person to receive an eligibility at the level required for the position.
4. EVERY person who receives an eligibility that will access to classified material MUST sign a NDA/NDS at the time that access is granted. EVERY person that receives access should also be receiving a briefing (this is usually part of the in-processing to a new unit by the security manager). Remember that a security clearance access and eligibility can be suspended and/or revoked for ANY reason (including and most frequently a DUI/DWI).
5. EVERY person that leaves a unit MUST complete and out-process for classified material. This is when ACCESS to the material is revoked at the exiting location. If you are moving to a non-security position, your eligibility will remain active for two years. During these two years, a person may find another position that requires a clearance without having to re-apply for the clearance. After that time, a person must re-apply for a clearance.

I am a retiree, as I am not a Consultant, or Contractor working with DoD, or the Intelligence Communities, I currently have no need of a Security Clearance. However, I have what is called institutional knowledge. while some is dated and may be of questionable value, I have kept current with a few aspects available through public sources on what I've dealt and worked with. If need be I could be requested to return, by having a clearance on file, it makes various agencies background checks easier to perform. Once revoked the clearance is filed and secured in National Archives. If f am recalled or rehired in any capacity a new back ground check would need to be instigated by the agency. That could take some time to accomplish, and I can not be read in until then, regardless of level I hold. Ultimately is should be up to the controlling agency to determine if I have a need to retain a security clearance based upon it's needs, not my desires. As for the what I know aspects, if I am in violation of a Non-disclosure statement, or applicable Federal Law/Statute. Then I or anyone else for that matter should be prosecuted for those violations. As for revocation of Clearances by Executive Authority, it is not my position to comment upon, my basic opinion is that such actions should not be done purely for Political Expediencies.