This repository contains a minimal image with StatsD working. By default this image try to connect to Graphite on localhost:2003 and expose 8125 port.
docker run -d -p 8125:8125/udp mateuszm/statsd
To alternate config you just need Dockerfile with:
FROM mateuszm/statsdand file named config.js in same directory. ONBUILD directive will copy your file to StatsD config directory. Configuration options can be found here.