brandy078 how secure is it to give play services network access?
It's a question of privacy, not security. The answer depends on how comfortable you are sharing information with Google. What information is shared will depend a lot on how your phone is setup and what apps you use. I don't think anyone other than you will be able to answer this question.
That is the con: at least some information will be shared with Google.
As for the pro...I assume you have a reason for asking this question...being able to do whatever you're trying to do is probably the pro. I can't see much reason to have Play Services installed if it doesn't have network access, unless you have apps that require it to be present but don't actually need it to work.