Is it safe to have your Full name in your email? I just want know before I do more social networking...

No .Unless you have a separate email for business alone the answer is no ,it it not safe.

Safe is such a relative term.

There are so many free email services why don't you set up a separate account for your social networking and you could use your screen name from the service

It all depends on what you do with the email. If it is for general use, I wouldn't do it. If it is for business purposes, it looks better than having a handle like [email protected]. I would only use the first letter of your first name and the last name or vice versa. I wouldn't recommend using the full name because some people harvest personal info on the web for their own devious purposes.