Hi Sarge,
There are three ways that you can view and save your replay. During your
shot there will be a "View Replay" checkbox in the bottom left of the
screen. Just check that box while the ball is still in flight and it will
automatically replay the shot when it finishes. If you miss the chance
to check the box during the shot just go to the MENU and choose REPLAY
LAST SHOT before you hit the next shot.
If the last shot you hit ended up in the hole you can choose the VIEW
REPLAY option from the scorecard screen (to the left of continue).
No matter which way you choose to view the replay you'll be given an
option to save it after you have finished watching it. Just click the SAVE
button that pops up after the replay is over, give it a name, click SAVE
one more time and you're good to go.
You can only save or view replays in solo play. You will get the occasional automatic replay in multiplayer, but those cannot be saved at this time.
Good Luck =)