acquired taste

noun2

1. •
   A taste which is not natural or innate, but which has developed through habit or learning.

   • Like many another Italian War hero, young Dino Grandi had turned to the post-War Fascist movement to satisfy an acquired taste for action. — 1939
2. •
   Something that is appreciated only after having initially been regarded as unappealing or unpleasant; a person who is regarded as difficult or dislikable but of whom at least some have grown to approve.

   • Since most adults do not share this director's unquenchable optimism, even his best movies tend to be an acquired taste. — 1978