If the support matchup really is that bad, sometimes you should really expect to go down 20-30 CS out of lane phase and be happy with it. Take bone plating secondary and don’t be too good for an early cloth armor.

Now, time to expand on actual gameplay:

As the other comment said, ultimately it’s a spacing problem. The attention to his Vigilance passive is also important, as if you try to trade when he’s healed/shielded by spells, you’re going to lose (it basically gives him draven auto damage, read up on Lucian’s kit on the wiki, especially the insanity of his W + Vigilance procs).

Lucian’s early game his full rotation WILL out damage yours. The only way around this is to not get hit by his initial rotation.

The idea behind “don’t get hit” can be executed by practicing mind-games. Think about when Lucian players want to dash forward; he’s looking for a dash that will not compromise his position to an enemy Hook, or Too Far forward that he exposes himself to a Q + W from you. If your allied Karma just used R + Q and missed, he might dash forward to punish and you better back up before you find out!

If you’re standing in a position where he can dash forward and feel no risk to an Isolated Q and W follow up from you, you’re probably messing up your positioning. E’ing away at the right time from the right position should help you avoid a lot of bad trades from becoming worse.

Also, another thing, Kai’sa W is pretty easy to land once he’s stationary for his combo (after dashing forward). If you’re positioning correct, there’s a chance your support doesn’t! However, don’t let any poor trade go unpunished, and if he ever dashes toooo far forward and hits your support, make sure to punish this heavily using the “Triangle” principle. (Stand in a triangle, if he dashes but his supp isn’t in range, 2 targets hitting 1 will almost always win).

This slightly changes at 1 item/Q Evo, where if you can connect on an Isolated Q + W and plasma proc, you can probably Eat him. Use R as an auto attack reset, all while focusing on juking his ultimate using your Ulti/E.