Image size would be dramatically less Alpine.
FROM alpine:3.8
RUN apk add --no-cache chromium
RUN addgroup -S chromium && adduser -S chromium -G chromium
USER chromium
EXPOSE 9222
ENTRYPOINT ["chromium-browser", "--no-sandbox", "--disable-gpu", "--headless"]
CMD ["--remote-debugging-address=0.0.0.0", "--remote-debugging-port=9222"]
Image size would be dramatically less Alpine.
Example Dockerfile: