Very simple. Two boxes on each side showing how many turns each side has had and how many total moves. I think this would be a valuable contribution to the game.
It would let us see once and for all how we stack up against the AI. I for one feel like the AI gets many more moves than me but maybe this could prove me wrong which would make me happy.
A turn would be turn based. + 1 for each actual new turn.
A move would be any function. Kraken casts and creates blue which brings in a few cascades. Each individual board change would be considered a move. Therefore in one turn you may have many moves.