Conjurers get a sleep at level 26, called Repose. Mechanically the same as Thaumaturge Sleep.

CC also means more than sleep, though Sleep in FF14 is by far the most common. For example the Conjurers "Push them away and root them into place for 6 seconds" abillity Fluid Aura is also a CC. Technically Stun is a CC but it's too short to be really used for it. Basically anything that helps deal with larger crowds of mobs more easily is CC.