Lucian can pretty much lane against anyone, because of his flexibility.

For supports he can be good with any support, but Thresh or champions that can buff him work pretty well with him.

This build does not have a lot of attack speed like the regular crit build, but this shreds tanks and squishes while still giving you a lot of CDR. However if you fall behind it is very hard to catch up with this build. Lucian is a champion that is strong throughout early, mid, and late game.

In Lane: You want to play somewhat aggressively and punish them with your Q when they come near their minions.

Mid Game: Try to pick out single champions, because unless you did very poorly during the laning phase, the champion is more fed than you are, or they are an assassin, you can probably solo them, if they are a tank you will probably have to use your . Also try staying with your team during team fights as you will offer a lot of damage with your ultimate.

Late Game: Stay with your team, so you don't get picked out, and to provide your team with a lot of damage.

Lucian combos are very simple to understand, basically almost all the time you want to auto in between your abilities, because his passive LightslingerHere are some basic ones to start out with.

Trading: E AA Q AA E
Chasing: W E AA Q AA E
Chain Attack: E AA Q AA E AA W AA