I have never try install a wallet on my smart phone.
The safety of phone always bothers me.
By "safety" do you mean the possibility of the phone being lost or stolen? If that's the concern, make sure you lock the wallet with a PIN. When you discover the phone missing, restore your wallet from the paper backup and transfer the bitcoin to a new wallet, with a new private key.
Or are you concerned about the possibility of the phone being hacked?