This ping is fine. You can actually still clear all of the high-end raids just fine with this ping. (I actually disagree that hits clip you after moving out at this ping.)

It does affect weaving, which is where you press an Ability while a Spell or Weaponskill is on cooldown. These trigger the Global Cooldown (GCD), leaving time to press Abilities. The difficulty happens when trying to fit in 2 Abilities, because the ping delays this a lot. It's still possible at that ping, just annoying sometimes.

It won't affect you really on Conjurer / White Mage because it's not an ability-heavy job, but may a bit on others. It won't prevent you clearing anything though as I said.

However, you may notice it if you try to use Swiftcast immediately prior to Raise, where the game won't acknowledge the instant cast buff and spend ages casting. You can also notice the effects of ping more in PvP and Chocobo Racing, but a lot of people avoid these anyway.