Two designs of such watch fobs are known today.
1st design.
See also https://asiamedals.info/threads/russo-japanese-war-victory-commemorative-watch-fob-with-marks-star-and-crescent-and-n-inside-rhombus.27108/
Obverse
戰捷記念 - Victory Commemorative
明治丗七年 - 1904
Obverse
日露海戦 - Russo-Japanese Naval Battle (i.e. Tsushima Battle)
歴戦記念 - Long Military Service
reverse
昭和十年 - 1935
第三十回 - 30th
海軍記念日 - Navy Day (In the Empire of Japan, Navy Anniversary Day/海軍記念日 - Kaigun Kinen'bi was celebrated on May 27 from 1906 until 1945. It was established in...
30th anniversary of the tsushima battle badge
dalian city hall badgerusso-japanesewarbadgerusso-japanesewarcommemorativebadge
tsushima battle commemorativebadge
日露海戦歴戦記念昭和十年大連市役所海軍記念日章
日露海戦記念章