By "process output stream" do you mean STDOUT? STDERR? Or you have an OutputStream object that you direct to somewhere? (a file?)
If you write to a file - you might see clipped data if you don't close your output stream. As long as you go by the book (outputstream.close() when you are done writing) you are good to go. Notice that there are some underlying limitations like Storage space (obvious) or file system limitations (some limit the file size).
If you write to STDOUT/STDERR - As far as I know you are fine. Notice again that if you write your output to a terminal, or through Eclipse (for example), then they might have a buffer and therefore limit your output (but then, it's most likely that you'll get the first part of data missing and not the last part of it).