Knowing that an ideal voltage follower has unity gain, infinite input impedance, and zero output impedance, then a current follower should have unity (current) gain, zero input impedance, and infinite output impedance. Just as an common collector stage (emitter follower) is the single-transistor approximation of a voltage follower, a common-base stage is the single-transistor approximation of a current follower.
An op amp with unity feedback is, of course, a very good approximation of a voltage follower. The only IC I am familiar with that is close to a current follower is the LM13700, which is a really cool part for an analog geek like me.