I often find myself rushing Liandry's on her now because she can apply the double burn so easily
Position yourself in the minion wave so that you can abuse your Q the most. Lissandra's Ice Shards hit hard and fast and really punish melee champs
Combine your Q and E in lane the Q slows so that your E is guaranteed to hit them then follow up by blinking behind them and locking them down
You are relatively safe in lane if you ward properly as your E covers a lot of distance and will more than likely deposit you close enough to your tower to be safe
Use your tower to your advantage - Lissandra packs so much cc that even thought towers are pretty shit you can lock up a cocky diver long enough to get a kill with the turrets help
Push your lane in hard then roam. Travelling through the jungle let's you circumnavigate scuttler and bushes that might be warded. E into the wall just above the blast cone plant if you e more than halfway into terrain you'll automatically hop out the other side which makes her roaming so deadly. Your cc combined with an allied laner will normally result in a kill.
Your W is an instant aoe cc which is very powerful combined with flash and guarantees hit skill shots look for flash w engages in lane as it can save you having to engage with your e and means you can use it later for damage or to follow after they flash away
In teamfights you have one of two roles depending on how fed you are you are either the carry or the cc bot either way your job is to get in cc 3 or more people and live through the resulting carnage
I love Lissandra she is my go to champ if I'm tilted and need to go into Hard Carry Mode