You can protect your tweets if the side effects are acceptable to you. This way you will receive an email anytime someone wants to follow you.
On the account screen for the settings page, check the box that says "Protect my Tweets", just be aware of the caveats which are as follows (text from the settings page when you are actively protecting your tweets):
Your tweets are currently protected; only those you approve will receive your tweets. Your future tweets will not be available publicly. Tweets posted previously may still be publicly visible in some places.
I did this recently, it's been much nicer I think.