I was wondering about that title until I read the lyrics. Oftentimes with a J-Xmas song, the theme is about being alone and lonely on Christmas Eve, and "No-Sleeve no Christmas" (A No-Sleeve Christmas) has that part in it, but it also has a happier conclusion in that the separated couple kiss and make up half a year later just on the cusp of summer.
Hideaki Tokunaga（徳永英明） composed the rousing melody which sounds like a musical set-up for a launch into a happy tomorrow while Ginjiro Akitani....or Akiya?（秋谷銀次郎）...wrote the story of the couple recovering from that half-year hiatus. "No-Sleeve no Christmas" was never released as a single but is a part of Tokunaga's 3rd album, "Birds" which came out in May 1987. However, its popularity was such that it got onto his first BEST album, "Intro." which was released in December of the same year.