Dark Binding Q is Morgana's most reliable CC spell and has one of the longest crowd control durations in the game. Do your best to avoid it or risk giving your enemies a kill.
Black Shield E can stop all forms of CC as long as the shield remains intact. Be careful if you try to engage with it up as you could be diving to your own death. Try to fight around her E cooldown.
Even though Morgana is a support, her damage is still high with her Dark Binding Q and Tormented Shadow W combo. Her Q will keep you in place while the other one eats away at your health.
Only go in when Morgana's Black Shield E is down. It has a long cooldown in the early game, so try to make her use it before you attempt to skirmish.
Avoiding Morgana’s Q can single handedly win you a trade or secure a kill on her or her teammates.
If you’re able to put her behind, she will have a very difficult time using her R since you will be able to kill her before she stuns your team.
Once Morgana gets her R, she might be able to keep (atleast) one person locked down for a long time- don’t let that person be you!
Soul Shackles R can disrupt a whole teamfight and she can remain safe while using it with Zhonya’s Hourglass. Blow her up before she can use it- or escape the range then kill her afterwards.
Morgana has pretty solid AP scalings on her abilities. If she buys any items that have AP, she will be doing a lot more damage.