Life aboard a early dreadnought was dirtier than it was on later, oil fired 20th century warships. Prior to the Queen Elizabeth class, that were laid down in 1912 and fitted with oil fired boilers, dreadnoughts were powered by coal fired boilers. They had a shorter range, and the task of refilling the coal bunkers could not be done, while underway at sea. It had to be done in a harbor, or tied to a dock. It was a backbreaking job, that required hundreds of crew men, all day to move the more than one thousand tons of coal from the main deck, down to the bunkers. This kicked up a lot of coal dust that made the ship very dirty. I posted a photo of one crew that looked very happy, when they finished loading their ship's coal bunkers on /r/warshipporn/ five months ago. It shows what you would look like, after refueling an early dreadnought.
http://www.steelnavy.org/history/archive/fullsize/nh101116_71e96457e1.jpg

Although generally poor The conditions of the crew varies widely between location and nation

For instance a sailor of the Grand fleet stationed in England would have a very different experience to men in wartime especially on long trips like von spee's Asian squadron or Rozhestvenskys fleet reinforcing the Russian Pacific fleet I'm 1904

The conditions also vary drastically with rank where in an admiral in the Italian navy would likely have a spacious room and porcelain (the battleship Roma even had a dancing hall for the officers if memory serves ) While an enlisted officer on the same ship would live in terrible cramped quarters with poor food and no ventilation

Are you interested in a specific ship, specific navy, or how a specific person might have lived?

Sources: castles of steel, jaines naval reference books, and a book on Rozhestvensky I can't remember the name of