I played many characters that require patience in many games eg. Ike in smb4, Paladin in ffxiv, Magikarp in Pokemon.
What I mean by patience is that to read the opponents next move and observe their habit and adapting to the gameplay. I want a specific champion for top lane and mid lane. Any recommendations?
Facing 
Automatically assume hes about to dash through the nearest minion and you will always be right
Mordekaiser. Walking to lane
A lot of skirmishers and assassins with out play potential are like that. Go in the right time you kill, the wrong time you die. Top lane: riven, fiora, irelia are good examples MId: zed, yasuo, leblanc
If you're willing to put up with his mechanical learning curve, 
might be an option. Since his damage is pretty telegraphed usually, you have to watch how they react to your barrels and try to make them comfortable while planning how and when to hit them. His ult functions kind of as such on a global scale, can be used to good effect if you can read their team's intentions. +1 since he can be played both top and mid.
You have to set up your passive accordingly, know when you can land an e, and how they react to your ult. You have to be very patient with her as she requires a lot of mind games to use.
I don't think OP meant patience as a means of just waiting to stack farm or playing an underpowered champion unless I miss-read.
I'd personally recommend 
and 
as far as true "patience champions." Half of the battle with them is ganking in the early game and all about mind games. Some of the best Shacos gank and kill you then you rush back to lane and try to beat your opponent who hasn't backed only to find out that the Shaco never left.
Nasus
is all about the mind games. Your skillshots are pretty slow but do insane amounts of damage so you need to get a read on your opponent and pressure them until they give you an opening to unload on them.
. Patience and predictions determines a majority of your success when playing her due to her severe lack of burst damage and reliable CC.
wait till someone steps in ur trap?
Top:
- Patience in the sense that you have to slowly farm to high damage over the course of a game
- Patience in the sense that her kit screams "all-in all the time" when it functions more as "guaranteed kill secure;" you have to trade well and often over time.
- Patience in the sense that you wait for game-changing fights to use ult
- Patience in the sense that you chip away at the enemy while out-sustaining them
Mid:
- Patience in the sense that you rarely have the damage to win 1v1s from 100-0, and you spend most of lane farming and waiting for jungle ganks. Also in the sense that in teamfights you're a mage that goes balls-deep and will die if your timing is bad.
- Patience in the sense that you play around the edges of team fights and waiting for a guaranteed kill to begin the reset snowball
- Similar to Liss early game, Kat mid game, and Nasus late game
Vladimir.
Have fun being a glorified cannon minion for 20 minutes, then have fun treating everyone else as a glorified cannon minion after that.
Honestly I don't think champions are meant to do the thinking for you. Reading your opponent and adapting to their playstyle should be done with any champ really.
You have to be more specific.
Lane phase takes patience regardless. That's not really describing any champion in particular, although if I had to, I'd say somebody like 
who needs some build-up **and **an opportune time to go all-in. His E also requires you to be able to read/predict enemy's movements.
For lane 
are best if you first observe your opponent and wait for the right time to strike, though many of them also thrive off a high preasure game from early depending on the matchup. They often can get early kills with insane aggresion at early ranks and then force their opponents to adapt if they get the lead, but if they don't get the early skill, you have to play patient around oppenigs from your opponent aswell as waiting for level and item breakpoints(trinity/duskblade beeing massive item breakpoints that boost your power alot once you finish them, playing passive till you get their and then useing that powerspike often is a good strategie)
For teamifghts, most off the above also profit from beeing a patient observer, though 
and
are two of the champs that fit best for that in teamfights, haveing the patience to wait for the right moment with the ult makes a huge difference, but you also have to be willing to trigger the button rather than always holding onto it, hopeing for that magical 5 man ult.
If you want a champ that is more like magiccarp, not great early, but if you somehow get ghim to evolve you get a hgih reward, is your champ
Nasus.
Bard, Kayn, Kogmaw. I think. GP too.
It's a shrinking list. All champions are better if your patient, but riot doesn't want to penalize players who are hyperactive and short sighted, so many champions tend to only benefit from being patient for the first couple of kills, or about 10 minutes, then snowball too much to need to be anymore.
Jayce has a ranged form and a melee form and two sets of abilities. Kayn is still pretty new, but he can transform into either fighter or assasin class champion during the game. Gnar is a ranged mobile champion that transforms into high cc tank during the fight. Memorable mention sion, because he is a tank and he will build depending what situation needs, and he can lane and do well vs pretty much everyone, except maybe Darius.
basically useless until 2-3 items in. I've tried and failed to play Yi so many times. Every time we lose because the enemy team outpressured my team because I was trying to farm to relevance.
How about 
? He has the spell shield, the fear that everyone and their dog can walk or dash out of.
Q stack Nasus (instead of e max nasus) requires a lot of patience but has no adaptability
On the other hand Udyr doesn't require much patiuence but his only strength is his adaptability to your enemy, there are more than 9 udyr playstyles and honestly those that seem the least meta (like lethality tiger max) at specific situations are way better than the most common one (trinity tank).
(but udyr is getting a rework sometime soon, probably before preseason)
Vladimir.
Have fun being a glorified cannon minion for 20 minutes, then have fun treating everyone else as a glorified cannon minion after that.
Patience like setting up the kill and being smart? Everyone who said gangplank is right. He is also supposed to be soooooooo fun if you get good at him. I'm bad though so dont ask me.
If you just want a champion who asks you to wait to be useful, nasus and vladimir are your boys. Nasus needs 500 stacks to become a beast. Vladimir starts weak as a minion, becomes a real champion at 3 items, and starts 1v3ing at full build.
I'm a vlad player, so some more input: Early game you play a resource battle, trying to poke them down, out heal them, and waste their mana. Late game you are an unstoppable god that burst heals more than half their hp and murders squishies and tanks alike.
Anyone late-game that can't snowball pretty much.
No one require more patients than Evelynn IMO. Her whole playstyle is about waiting and positioning around the enemy. Skirting enemies around your passive range to get to your target and/or waiting for them to split off far enough for you to attack is the most satisfying thing in the game. Her playstyle is definitely not for everyone(why she has a really low playrate), but if you like patient the patient playstyle of readying your enemies then look no further.
I'd say 
or
mainly because if you use anything to early you die, and because im told once you learn her she has no counters, while being quite slow and telegraphed.
