I use Mukluk when I'm on mobile, which does let you log your rps to your SD card, but finding where the logs get saved to on your phone is tricky, and it's hard to get the file to be readable. It also won't let you copy and paste from the game itself, so I don't especially recommend it. If you want to log your rps, you basically have to get a client like MUSHclient on a desktop computer. :/
I did install MushClient on my desktop computer, however my screenreader does not appear to be working with it and I don't understand how it works exactly.