Lucian is pretty nasty right now - In general - learning how to deal with an unfavorable lane is important. Here's my suggestions:
1.) Grab as much CS as you can and avoid trading, let him have the early game unless your jungler pops around. Try to stick some wards down river for when he eventually gets tired of being unable to kill you and starts roaming.
2.) Armor. Armor. Armor. Stop building what you were going to build and BUY ARMOR. This is so critically important, especially in top-lane, where your expected to endure by yourself for longer windows of time.
3.) Next time, consider taking Exhaust/Barrier to help yourself against tower dives. If you know your going to lose the early game, play into it and don't give up a kill.