Why you guys need it animated? For stuff like water I'm guessing? Well here's a technique I was using back in my rpgmaker days. Lets say we're making water. So First I would draw the ground around it. Stuff for water I would leave transparent. Then I would use 3 or more layers of background image, each with bit different water texture, and for each I would set transparency ( up to your own preferences). Also I would use eraser brush to make it bit more transparent in some places. The last texture would be the bottom of the lake that I would keep solid. Then you put them all together, and in construct you could use that technique of looped tiled background, for each of the water textures to move in different direction. Effect is really cool. You can also add sky reflection to it etc.
EDIT@ Simple one that would imitate oldschool animated tileset would be to make several Tiled Backgrounds, each with different animation frame, call them something like Water1, Water2, Water3 etc, place Water1 backgrounds where you want them to be, and then make animation with events.
EDIT2 Example of oldschool water. WATER.CAPX