Assuming this is a console application, you could print new lines some 24 times, which puts you at the bottom.
The string to be printed gets stored on fixed size array/vector of 81 chars (\0 terminated at position 81), which gets updated by some feeding routine. This could potentially come from a socket, typing, a file, calling process, etc...
At feeding time (timer callbacks, when file changes, socket buffer not empty, whatever), you then need to rotate text one char at a time. Assuming rotation is right to left, copy all chars from 1 (not 0) till 80 to i-1 preceding position. Write the new char on position 80.
The key graphical trick here would be to terminate your printf with \r instead of \n.
\r is a modifier for return carriage: cursor returns to column 0, and will not go to the next line. That allows re-print of the same line.