-( Story related, cannot be missed )-
Complete Great Clock, Sector Two to net this trophy. At the end, you will come across the Hypersonic Brainwave Scrambler(HBS), set loose by Dr. Nefarious at the beginning of the game and left to run amok. Armed with the Chronoscepter, Clank is ready to deal with this menace. Use a Time Bomb to delay it, then run up and whack it a few times before it flees. Greater damage can be dealt if you jump up and then attack, as Clank will bring the Scepter down for an area attack.
The HBS will have two defense stages where it will back away from you and summon those slug-like creatures that you have probably seen earlier in Sector Two during the time puzzles. You can either Time Bomb the HBS and continue attacking it, or clear the slugs and resume the fight. Either way, this is a quick fight, and as long as you continue to Time Bomb it, its laser attacks will hardly have the time to hit you too.