Political analysts and makanan khas bali academics worry that a constitutional amendment, which would be required to extend the presidential term limit, could set a precedent and open up a Pandora's box of other constitutional changes.
WHAT IS THE PRESIDENT'S VIEW?
Initially the president, commonly known as Jokowi, rejected the plan, describing it as "a slap in the face".
More recently he has said he will abide by the constitution and that "everyone in a democracy is entitled to an opinion".
The president's senior advisors have denied a third term is on his agenda, but analysts suggest some elites are testing the waters by floating the proposal.
While Jokowi has a high approval rating, a recent poll by Lembaga Survei Indonesia (LSI) showed that 70% of respondents reject the third-term idea.
WHAT ARE THE CHANCES AN EXTENSION WILL BE APPROVED?
Passing a constitutional amendment would require a majority vote in a joint session of the country's legislative chambers.
The Jokowi government controls more than 80% of seats in the House of Representatives, but the political party he represents has rejected the extension, as have several others, making the chances of passing such an amendment difficult slotgacor but not impossible, say analysts.