Amplifying current of the voltage divider
Your terminology is incorrect here. You ideally want the divider/reference to output zero current while replicating its output voltage at a lower output impedance somewhere else so that output currents don't drag down the voltage as much. But zero current from output of the divider/reference multiplied by any gain is still zero current. So what you want is to actually buffer voltage, not amplify the current.

In which case an opamp wired as a voltage follower is the simplest approach that will do the job (albeit with limited output currents only but you have not given us any current requirements). Higher currents can be achieved by using the opamp voltage follower only as a closed-loop feedback control device (rather than a power device) to drive external transistors in a push-pull configuration or open collector (depending on what you need). It gets increasingly complicated from there the more current you need.

Also, add a circuit to your original post. This website has a schematic editor and you can edit it into your post.