Don't use agent forwarding to any host you don't have exclusive root access to and are 100% sure isn't compromised. Anyone else who is root on a box you SSH to with agent forwarding can authenticate to other servers using your private key while you are connected.
The host you're connecting to could be able to, force write/destroy your public repos or clone your (and your employer's) private repos given that he knows their paths, eg: github/github. I'd assume that a few companies have a */secrets repo of some sort.