For me the strategy is generally not dissimilar from that of standard reversi. CONTROL is essential in the game, but instead of playing for the corners yourself you should try and force your opponent into them. I say grab a C-square (that's a square vertically or horizontally adjacent to a corner) at any opportunity (and don't let your opponent take these squares!)
Then there's the interest in that the "occupiable board" is a bit smaller and differently shaped from that in 8x8 standard reversi, and there are 8 C-squares on the board this time.
And of course one more point. If you occupy both C-squares and the X-square (diagonally next to a corner) all around the same corner, then your opponent will have to take the corner itself sooner or later!