In ancient times, it seems 'sukimono' referred to someone who was infatuated with creating waka (a 31-syllables Japanese poem), but it is said that 'suki' gradually changed to refer to renga (linked poem) as it became popular in the Muromachi period.
古くは「すきもの」とは和歌を作ることに執心な人物を指した様であるが、室町時代には連歌が流行し、特に「数寄」が連歌を指すようになったとされる。