Start red buff and ask your team to give you a relativelly good leash because I just can't stretch enough how weak Lillia is before at least 5, if they dont give you a good enough leash smite it and make sure to kill it with smite. Then proceed to W the Krugs and kite them feel free to smite the big one if available or just keep the smite for the scuttle. Then clear the Raptors and back. You'll probably have from 410 to 425 gold (depends on how much time you take to clear the camps) then w8 for like 4 secs or so then buy an Amplifying Tome, then head to the blue side scuttle and clear it, then proceed to clear your blue side, worth to nore that you can clear both Blue and the frog at the same time if you have smite, then check the enemy junglers Raptors, clear them if available.

Look for a gank or a lane to shove, make sure to rush lvl 6 and after you have lvl 6 either back or look for a gank on bot, bot is the best lane for Lillia to gank after 6 since she can R both of them. If the gank is successfull then ask help for drake cause Lillia is weak against drakes, if not farm your bot side and look for ganks.

Make sure to farm and take as much xp from lanes as possible, do not let your allies back on xp tho, if theres a lane where your ally has backed go shove it if possible, its a great way to outfarm the enemy jungler and get more xp to be able to outsmite him. Look for many ganks and be as aggresive as you can because after you get your 2 core items you can pretty much solo almost anyone.