ipython notebook clear cell output in code

You can use the IPython.display.clear_output to clear the output as mentioned in cel's answer. I would add that for me the best solution was to use this combination of parameters to print without any "shakiness" of the notebook:

from IPython.display import clear_output

for i in range(10):
    clear_output(wait=True)
    print(i, flush=True)

You can have a better visualization of the function clear_output(wait=True) with this simple code.

from IPython.display import clear_output
import time 

for i in tqdm(range(10)):
    clear_output(wait=True)
    print(i)
    time.sleep(1)

You can use IPython.display.clear_output to clear the output of a cell.

from IPython.display import clear_output

for i in range(10):
    clear_output(wait=True)
    print("Hello World!")

At the end of this loop you will only see one Hello World!.

Without a code example it's not easy to give you working code. Probably buffering the latest n events is a good strategy. Whenever the buffer changes you can clear the cell's output and print the buffer again.