After Chanukah
The third aliyah begins with Bayom hateshi’i, and continues until the words ken asah es hamenorah (Bamidbar 7:60–8:4).
The Rebbe would often instruct that the menorah that had been lit in shul on Zos Chanukah should not be extinguished, allowing the lights to continue burning even once Chanukah is over.
After Chanukah:
As mentioned in last week’s Luach, when preparing the menorah, it is recommended to have in mind that you are only designating for the mitzvah what is needed to burn until a half hour after tzeis hakochavim. This way, you will be allowed to throw out the leftover oil, wicks, and/or wax.
If you did not have this in mind, burn the leftovers in a fire prepared for this purpose. The remaining oil in the bottle, however, may be used for other purposes.
Someone who did not give (enough) Chanukah gelt over the course of Chanukah should make up for it as close to Chanukah as possible.