Use the output of a command as input to the same command in a loop

So I'm trying to find a template for bash/shell script that essentially run a command, let's call it "command1" using an input "X" and then use the output of command1 on itself...but in a loop. Here a real world example:

echo "hello" | cut -c2-

which will remove the first character at the beginning of the input string and output:

ello

Now, the above is just an example to illustrate the template mentioned above. Following this example, how could i use *command1* output:

echo "hello" | cut -c2-

But as input, in a loop, either indefinite loop or until only one byte/character remain. So that i don't need to copy/paste the output and replace it with the old input:

echo "ello" | cut -c2-

Or need to use multiple pipe which would be too slow/inefficient. **Simpler Explanation** Using manual action, this would be the replacement of me(the user) copy pasting the output of the command i gave as example (or the pseudo code i described earlier) and use that as input for that same command, repeating that same action until "one" byte or char remain.