Three short lines carry a surprising amount of weight. The speaker is begging someone, and the repeated "please" makes the request sound urgent, almost desperate. What they want is simple: to be remembered, or for a particular time to be remembered. That time is "that lonely November."
The poem never says who is being addressed or what happened. Judging by the words alone, November was a period of loneliness, and the speaker seems afraid it will be forgotten, either by the listener or perhaps by everyone else. It could be a plea to a lost friend or lover, or a way of asking for recognition of a hard stretch of life. The poem leaves that open.
The mood is quiet, vulnerable and sad. The rhyme of "remember" and "November" gives the lines a soft, echoing sound, like a thought the speaker can't stop repeating. November itself, a month often tied to cold and fading light, adds to the feeling of isolation.