One of the best offensive and defensive strategic advantages in the game is the proper usage of the catapult.
Use Twig/ Pebble clusters to weaken your enemies' defensive towers and save time.
Also, a great advantage in taking out your opponent's main yard is to use the 10M Putty Rage. It is very effective with a combination of Champs, Daves and ProjectXs since they can wipe out most of the yard in few minutes. But every strength has its price so use it wisely.
Also, when catapulting a Town Hall or silo, you will NOT get resources, so don't hit town halls or silos when your catapulting. It's just a waste.