I am successfully running Chromium 61.0.3163.100 inside docker on alpine3.7 using the following python code:
from selenium import webdriver
chromeOptions = webdriver.ChromeOptions()
chromeOptions.add_argument("--headless")
chromeOptions.add_argument("--no-sandbox")
chromeOptions.add_argument("--disable-gpu")
driver = webdriver.Chrome(chrome_options=chromeOptions)
driver.get(url)
without any tweaks (e.g. docker run, kernel). Alpine has packages for chrome and chrome webdriver.
I love Alpine (in a platonic way).