while i see its been working out for you, i cant get over the scepter. such a useless item until late game. i go veil of discord for early mid game which gives you a lot more and much cheaper. then you can go scepter
My man.
Lich always felt more like an off lane support, great with another aggressive dood to screw over the enemy safe lane, but can't really protect a carry him self. But between him and cm, you are pretty golden on supports.
CM for babysitting your cary and Lich + a strong off lane hero for harassing is indeed amazing. It's even better when you go against a team with a bunch of squishy hard carries(pubs ).
Edit: AA + Clock is also great for early game annoyance.