The intent of Look Out! feels like the targets are supposed to only be able to change their facing, yet I don't feel this has been explicitly stated in the rules. So could a trooper performing dodge via look out also go prone if successful? Look out specifies that the targets are declaring Dodge without displacing with PH-3. Going prone doesn't actually need you to move, just that you've declared a skill with a movement label which it satisfies.
You can absolutely take your dodge move if you passed the roll and go prone or stand up while doing the move. This is a significant change, as it allows i.e. to move in quadrants on your opponents turn or stand up ARO pieces depending on your attack piece.
You absolutely cannot. :-( Look Out! allows other Troopers to turn around, and to avoid Attacks. That’s all. Nothing else. No moving, no going Prone, no standing up. ‘to modify their LoF without displacing’