Some people break their fast approximately one or two minutes after the precaution timetable. Is it a commendable act?
What about the injunction against hastening in breaking the fast?
One should break one's fast once one confirms (through listening to adhān, or through other means) that the time for maghrib has started. Delaying it by 1-2 minutes, or any other arbitrary number of minutes for that matter, is a custom that was not followed by the Prophet ﷺ. In fact, he commanded us to do the opposite:
عَنْ سَهْلِ بْنِ سَعْدٍ أَنَّ رَسُولَ اللَّهِ ﷺ قَالَ: لاَ يَزَالُ النَّاسُ بِخَيْرٍ مَا عَجَّلُوا الْفِطْرَ
Narrated Sahl bin Sa'd: Allah's Messenger (ﷺ) said, "The people will remain on the right path as long as they hasten the breaking of the fast."
This hadith was also documented in Sunan Ibn Majah 7/1768 with an addition for this command from the Prophet ﷺ that the Jews used to delay their breaking of their fasting, and in Sunan Abi Dawud 14/41 with an addition that both the Jews and Christians used to do so.