The name means chrysanthemum month. Kikuzuki was a Mutsuki-class destroyer built at Maizuru Naval Arsenal. She was laid down on 15 June 1925, launched on 15 May 1926 and completed on 20 November 1926 as Destroyer No. 31. She received her name on 1 August 1928. In the late 1930s she covered landings in China and the move into French Indochina.
At Pearl Harbor she was in Destroyer Squadron 23 with Carrier Division 2, and sailed from the Bonin Islands for the Guam landing. She covered the Kavieng landing on 23 January 1942 and the northern Solomons and Lae landings in March. She was reassigned to the Fourth Fleet on 10 April.
In Operation Mo, at Tulagi on 4 May 1942, aircraft from USS Yorktown torpedoed her in the harbor. Twelve of her crew were killed and 22 injured. The submarine chaser Toshi Maru No. 3 towed her to the beach at Gavutu and took off the survivors. She slid back into the water at the next high tide and sank on 5 May. She was struck from the Navy List on 25 May 1942. Photographs of her wreck were taken in 1944.
Sources: Allyn Nevitt's combinedfleet.com Tabular Record of Movement for IJN Kikuzuki; Wikipedia, Japanese destroyer Kikuzuki, rewritten here.