This advice may not last long since Season 6 will be coming, and news of a the Rift Herald, in which the top lane will play a crucial role.
What summoner spells are you taking? The meta right now (not sure how much it'll change in S6) is leaning to top lane getting Teleport and Flash. If you're getting Ignite/Exhaust and Flash, try switching to Teleport for now and see if you'll fare as well in lane as you are currently.
Assuming we are in the early-mid game, here are a few suggestions on how to spend your time when you're owning top lane.
Gank/push mid, but...
make sure to push out your lane first! Before you leave your lane, you should kill all the minions (should be easy with Rumble) to the enemy's turrets so :
- You won't be missing out on a lot of exp
- You'll be denying your opponent of exp and gold if they aren't there and you pushed minions to their tower
- No vision of you, assuming you killed their minions outside tower range and they have no river wards
This copies the same strategy of playing mid, wherein you have to push out your lane first before ganking other lanes.
The requirement here though, is big. This is best done when you're still healthy and you've killed off your lane opponent. Going to another lane takes too much time if your lane opponent is still there.
Alternatively, kill the Scuttle Crab
Same thing with the above, push out the lane before you leave for optimal gains. Scuttle crab is worth at least 125 gold due to the 50ish gold it gives, plus the invulnerable ward and speed buff you have on your river. It also doesn't fight back so you can return to your lane afterwards having regen'd some of your HP/Mana back.
If you think that your lane opponent has farmed quite a bit, recall
If you stay on your lane farming, and you suspect the enemy has amassed quite an amount of gold, it might be best to be on the safe side and recall as well. You may be owning now but it might not go as well as before if he goes back with a Spectre's Cowl and you have no new items.
As always, if it is safe (no risk of jungler gank when you have low HP), clear out the minions before recalling.
Feeling aggressive? Invade the top lane jungle with your jungler
This is something best done when you have the first turret pushed. You can try to come with your jungler to invade the enemy team's top side jungle.
Potential benefits are :
- Killing the enemy jungler or burning their flash
- Ward/dewarding of the top lane jungle
- Red/Blue buffs
- Wolf smite (if possible, this is a VERY VERY good benefit)
- Denying their jungler of camp gold and exp (Leave small minions alive)
Once you get sighted though, make sure to assess if you can take on their mid,top, and jungler at the same time.
If you have teleport, ask your bot lane to ward the farther side bush
And watch for any brewing fights. Once the enemy commits to a fight, you TP. Always be aware of the map.
League player since S2
Currently Plat IV in LoL Oceania but peaked as Diamond II (Back in S4) in LoL PH