Note this requires Python 3

stream_stdin_http.py

#!/usr/bin/env python3
import http.server
import sys
import time

stdin = sys.stdin.detach()

class StreamingResponseRequestHandler(http.server.BaseHTTPRequestHandler):
    def _stream_content(self, source):
        while True:
            # Totally ghetto speed limiting (76800 bytes = 600 kilobits)
            chunk = source.read(76800)
            if chunk:
                self.wfile.write(chunk)
                time.sleep(1) # EEW
            else:
                return
    
    def do_GET(self):
        self.send_response(200)
        self.send_header('Last-Modified', self.date_time_string())
        self.end_headers()
        self._stream_content(stdin)

server = http.server.HTTPServer(('', 8080), StreamingResponseRequestHandler)
server.handle_request()