Takedowns on enemies grant permanent Attack Speed.
Offense
+9% Attack Speed
Flex
+6 Armor or 8 MR (match-up)
Defense
+15-90 Health
WhyGrasp of the Undying
Tahm's incredibly strong slow on [Q] allows him to chase down and trade incredibly well in lane with auto attacks. The stacking health on Grasp further empowers his passive.
More autos = more damage = more health = even more damage
WhyDemolish
Demolish on top lane Tahm Kench allows you to snowball early kills into an early team gold advantage with first blood turret.
WhySecond Wind
Second Wind's mid-fight healing paired with your large health pool, especially when paired with Bone Plating, makes you an incredibly durable tank in skirmishes.
WhyOvergrowth
Overgrowth is a rune that allows Tahm to scale, both defensively and offensively, incredibly well. The bonus stacking health further empowers your autos and abilities thanks to Tahm's Passive.
WhyTriumph
Triumph is a rune that is deceptively good in it's ability to sustain in teamfights. If you're playing frontline and soaking damage, picking up assists will massively heal you to keep moving forward.
WhyLegend: Alacrity
Especially during the laning phase, Tahm relies heavily on the ability to take trades by getting as many autos off as possible. The faster autos means more damage from passive, Grasp, and faster passive stacks.