The last diamond jubilee was Queen Victoria's, in 1897. On that occasion the medal was only issued to around 980 army officers (not the navy, apparently).
At least two exceptions come to light after a quick Google, probably owing to the existence of the Naval Brigades:
...He was promoted to Lieutenant on 27 July 1887. While as a Brigade Major to the Naval Brigade in London, he participated in the occasion of Queen Victoria's Diamond Jubilee in 1897, for which he received the Queen Victoria Diamond Jubilee Medal...
- Victoria Cross
- Knight Grand Cross, Order of the Bath ( GCB )
- Baltic Medal ( 1854-55 )
- Indian Mutiny Medal ( 1857-58 )
- 2 clasps:
- "Relief of Lucknow" - "Lucknow"
- Queen Victoria Diamond Jubilee Medal ( 1897 )
- King Edward VII Coronation Medal ( 1902 )
- King George V Coronation Medal ( 1911 )