So what is Evelynn supposed to be? + Rework Idea
Mage? Even when she was high in AP she never had a mage playstyle. She wasn't clearing from afar, wasn't poking from a distance, wasn't weaving in spells with various windows and timings like other mages. She just had a spammy ability that does magic damage and a single target ability that used to do magic damage.
Fighter? She randomly gets Attack Speed on her E but her kit in no way really scales with it. Her Q doesn't apply onhits, doesn't speed up based on Attack Speed, she has no real benefit to getting that Attack Speed. Why have her Q if she is going to be autoing you a lot ideally?
Tank? There was one point where she was just stacking health and resist items in tournaments and higher level play, but she has no natural mitigation or playstyle related to mitigation and tanking other than a somewhat forced shield if she hits people.
Assassin? Other than her ability to approach you without you being aware of it, she doesn't have any tools of an assassin. Even with burst I wouldn't say that really qualifies someone as an Assassin because they need a way to break away from combat immediately after using their pattern. Talon has that, Kat has that, LB has that etc., Eve used to have that on her old kit.
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I tried to capture Old Eve with New Eve and Newer Eve together into One Vampirish Assassin Bounty Hunter BDSM Chick
Mage/Fighter/Assassin Eve Rework: Now Manaless like Katarina P - Attack Speed and Health each time she deals ability damage to an enemy unit Q - Applies On-hit effects. Speed of Spike scales with Movement Speed and CD is reduced only by Attack Speed. Deals % increased damage each successive time an enemy is hit with a Spike. Deals double damage to Minions and Monsters. W - Stealth lasting for 10 seconds with heavily increased Movement Speed when not near enemy champions E - Heals per hit and steals resists but no longer increases Attack Speed R - Less shield, Higher Slow with Longer duration, Lower CD
Scaling changes: Q is pure AP scaling magic damage instead of AP+AD magic damage E is pure AP scaling magic damage instead of AP+AD physical damage