Tripping just because you start to run might be a little much.
Tripping as you start to run and happen to be hopped up on every drug under the sun? Heck ya. One of my many fond memories of modded skyrim was pounding a few nord meads to stave off the cold only to trip over myself, fly off a cliff, and die.
Something I noticed after multiple times of having the pc lay on the ground after getting fus-ro-dah'd made me realize how those few moments where you're not in control of your character really seemed to create a disconnect, least for me. It goes from "I have to dodge that!" to "Come on dude, get up, get up!" So eating grass after pumping yourself with drugs I can get behind, but tripping every now and then when you start to run just because your agility is low could get annoying pretty fast.
Maybe a system where as long as you have more than 4 agility you'd never trip when you start to run, but most drugs lower agility beyond the threshold or if you're a natural 3 there's always that chance?