http://www.honda.co.nz/technology/driving/cvt/#Howfrom what i can see of earlier Honda CVT it used a hydraulic torque converter in conjunction with CVT to act as a clutch and allow the gearbox to creep - don't know what they use nowadays. My wifes old Punto Selecta used a magnetic powder clutch, where an increasing current was applied to a magnetic powder to cause it to 'stick together' in a controlled way, moving it from a viscous 'fluid' to a solid mass, this worked well (in hindsight it was probably the best part of the car
).
all automatic transmissions still need a clutch or torque converter of some sort to disconnect engine drive from the wheels and then take up the drive in a controlled manner. Fully electric car motor drive is different, as you can just remove power from an electric motor and it stops rotating, and can ramp up the power to the motor in an easily controlled manner to take up the drive from standstill and accelerate the car, electric motors also have a huge speed range, so a gearbox may be dispensed with. Also electric motors have maximum torque when they are not rotating (which is why electric power is a good idea for trains, and even diesel trains were actually diesel-electric, where a diesel engine did not drive wheels directly, but drove a generator which supplied electric power to electric motors to drive the wheels)