DOS character animation

I am writing the connect 4 game. When the player chooses a position for their marker, I would like to create a simple animation of the marker sliding into that position (as any who have played the actual game know, chips are inserted from the top and "slide down" into the first available <empty> slot). I'm thinking of drawing the grid, clearning the screen, updating the grid, drawing it again, etc., but realize that that is a sloppy way to go about it. The system(); command is what I use to clear the screen, but it flickers (as it's supposed to), and I don't like the flicker in the game. Any suggestions?

you could just tinker with b800:0000 and have a double buffer to it... so it'd be instant... no flicker...