Much like the Pick 50 locks trophy, playing through the game normally and wanting to loot everything should net you this trophy naturally. As I put absolutely no points into Dispelling until level 9 or so, I made sure to save before opening any warded chests.
For those looking for an easy way to grind this one out, head to Adessa, the main city in the area of Detyre (Red wasteland look area on the southern part of the world map. Once you arrive in the city, head south and on your map you will see a South Central circular part. The building in this area you are heading for is The Labrotories. When you enter, a gnome named Daedinnear will give you a quest to dispel the wards on 3 chests up the stairs to the left. Once you have dispelled these chests, return to him and select the "I'm Ready for More" dialogue option. From here you can continually remove the wards off these chests until you net the trophy.
Keep in mind you can always use a Fateweaver to reset your skills and stats (for a price), put points into this ability, net the trophy, then restore your abilities at a Fateweaver once more. Making a save before doing so is a helpful option on this trophy hunt.