I've discovered a powerful new feature of iOS 9 that none of the press materials on the update featured. The native phone, voicemail app now gives you the ability to share out the voicemail through the share sheet to other apps, such as messages, mail or Evernote. Clicking the share button from the voicemail gives you this ability.
I've had so many instances over the past few years where I wished I could save a voicemail to Dropbox or Evernote for archiving purposes. Often I have customers who give me orders via voicemail and this is a perfect feature. It also gives you archival privileges for your friends "drunk dial" voicemails. Enjoy friends.