In light of recent alleged "wifi hacking" incidents involving Neopets accounts, I took a look at the code for the NeoExplorer (Neopets Mobile) app to see if the Neopets team did anything to address security issues. Unfortunately, the app has the same holes that the website itself has - it communicates using plain old-fashioned HTTP, without any protection for your account's cookies or credentials.
Since many of us are going to be using the Neopets Mobile app on our phones and tablets, we will likely be taking those devices out from the protection of our home wifi and into the dangerously unpredictable wireless networks of our everyday lives. Please exercise caution when using Neopets Mobile in caf�s, coffee shops, offices, restaurants, stores and so on. The Neopets team has not seen fit to protect your account, or your username and password from being stolen when you're using this app, and you never know if someone might be out there running packet captures!
Ha! Thanks, @(you need an account to see links). I should've summarized.
In conclusion: don't use the app when you're on public wifi. It's not safe. Use cellular data or home wifi only!