There is a two term limit for the City Council.  Some of the more recent politicians that went from the City Council to the legislature are Romy Cachola and Donna Kim.
Both were in the state legislature before jumping to the City Council.  Very common for this back and forth.  Other examples are Stanley Chang, Kimberly Pine, Ron Menor, Ann Kobayashi, and Carol Fukunaga and who can
forget Ron Tam.