Yes. We're a third-party and we take the anonymity of employees very seriously. You can use some TINYpulse features without anonymity - sending recognition with Cheers for Peers, for example - but survey responses are always anonymous.
So are anonymous suggestions (if the name didn't give it away).
Administrators of TINYpulse cannot see identifying details of who has responded to surveys. This is mentioned in several of our G2 Crowd reviews.