Use Dark Binding to check for enemies in the brush. The projectile stops moving and makes a distinctive sound when it hits something. While this does work, it is best to save Dark Binding unless you have maxed cooldown reduction, as it is an essential ability for Morgana's combat and will leave you vulnerable if it is on cooldown.
With enough ability power, Dark Binding can deal a fair amount of damage as well as snaring the opponent. The projectile moves fairly slowly, though, so always lead your target at any distance longer than close range.
Dark Binding is an exceptional zoning tool. If you're being chased, throw it at your enemies so you can get away. Even if you don't hit it will cause enemy players to waste time moving around it.
Tormented Soil used on an enemy champion and following up immediately with Dark Binding to snare them in place is an excellent harassing tool in the early game. Low health champions can even be killed outright since Tormented Soil lowers magic resistance and will hit for its maximum damage or more if they go below 0 magic resistance.
When using Tormented Soil to harass an enemy, place it somewhat behind them. This is because they will naturally run backwards and doing so will cause them to take at least 2-3 ticks of damage. Eventually they will catch on and run to the side or forwards, use this to your advantage when casting Dark Binding.
At rank 3, Tormented Soil can initially kill a wave of caster minions, and possibly melee minions depending on ability power and time into the game. As the game progresses, minions receive additional health and magic resistance, so either level up the ability or build more AP.
If an opposing champion must be killed in a team fight, use Soul Shackles and Dark Binding on that champion - if it doesn't kill them outright, it will at least deal a significant amount of damage and leave them stunned.
Soul Shackles can be used to detect stealthed units and opponents in the bushes. The icon of Soul Shackles will become available only if a unit is near you. It can be used to see where they are the moment you use it, but you can't keep track of them if they are moving.
Since Soul Shackles is not a channeled ability a player can use Zhonya's Hourglass to have the spell continue while she is invulnerable. However, this makes it easier for enemies to leave the tether range.
A good CDR build can also be devastating. Building a Glacial Shroud will lower cooldowns and help with mana, and building a Athene's Unholy Grail can help with mana regeneration and ability power.
A Mejai's Soulstealer is an excellent item for Morgana early game due to its high AP and cooldown when fully stacked for a very low cost. Since Morgana is excellent at assisting other champions in making kills, she can get a large number of stacks fairly easily. However, this method is not recommended for people who are inexperienced with Morgana.
Rylai's Crystal Scepter is a good tanky AP item for Morgana, since it provides a good deal of health and ability power, which goes well with her tanky AP nature. However, the passive slow does not have the full effect for most of her abilities, so be aware of this. Rod of Ages is the better choice between the two.
When Morgana uses Soul Shackles, quickly move away to break the spell tether and avoid the second damage and the stun.
Morgana's most dangerous form of attack is opening up with Dark Binding and immediately following up with Tormented Soil and Soul Shackles -- at most stages of the game, this combination can be devastating and in most cases it spells instant-death for the one being focused, taking great care to dodge her Dark Binding will greatly reduce her danger to your team, as that very same spell is also her method of escape.
Due to Morgana's anti-caster nature, consider using a physical damage champion, such as Ashe or Talon, against her.