On behalf of the Staff and the Members here at AF we would like to welcome you Mad, :ciao:, look around and enjoy. :congrats:
Yes it is safe, most new phones have the trickle charge effect, so once it is fully charged it will stop charging, and when it drains a few % then it starts charging again while on the charger.
Also if you want to be able to connect to the Forums from your Android device, be sure to check out the free Phandroid app in the Google Play Market. Cheers!!!!