Rav Vosner - Extinguishing The Chanukah Candles In Shul
The Shulchan Aruch (OC 671:7) writes that it is a minhag to light the Menorah in Shul before Maariv because of Pirsumei Nisa. The Mishna Brura writes that it is purely a minhag and no one is Yotzeiti with this lighting. The question is can these lights be extinguished after Maariv when everyone leaves shul? Even if it hasn't burned for the minimal shiur of half an hour, since they are not candles that someone is yotzei with it would seem that you should be able to extinguish them as soon as there in no longer any Puirsumei Nisa.
Rav Shmuel Vosner (Shevet HaLevi 8:156) says that if it is within the first half hour one should not extinguish them since a guest may be yotzei with this lighting according to the Bais Yosef. Furthermore since they are also Zecher L'Mikdash it is not proper to extinguish them as the mitzva in the Mikdash continued through the night.
Even according to the reason of Pirsumei Nisa which is not applicable when the shul closes for the night, still says Rav Vosner it is not Kdai to put them out unless of course it presents a safety hazard or the shul is susceptible to theft.
Important Note: We bring this tshuvah as a starting point for discussion and not to convey any halacha. We try to convey the Tshuva to the best of our ability. We admit that our understanding may not be accurate. One should learn the tshuva to verify the accuracy of our interpretation. Please understand that this Tshuva may not be the final word on this topic. One should consult a Rav before drawing any conclusions.