I believe replays are currently possible - albeit buggy - however it's not 'offically' supported yet. It's certainally on the cards from what I've read here on the forums, and it shouldn't be too long before it's implemented.

And I agree with you completely, I'd love to see the other sides' movements post game to learn from my mistakes and their strategies. I got royally destroyed in a game versus Rook and QoT, and I'd love to see their strat as I hardly fought them till the end - yet they were always one step agead.

Coming soon...  The two most dreaded words a game developer can use.

Replays work, but they're a little glitchy. The most obvious is that no sound plays (or so I've heard). They didn't want to ship them halfway broken.