Many of the DLCs and Chapters have quests that require you to find lost lore items. The quests are not typical quests with arrows on screen to guide you to quest objectives. They just give you written clues. If you are into trying to decipher clues and do a lot of exploring, they can be fun. If you destroy the items to free up inventory space, I think the items go back to their original locations, so they will still be there if you eventually pick up related quest.
A lot of DLCs have museum achievements, or something similar, for collecting and turning in all the pieces. They usually unlock collectables of various types.
"Construct (part)" If you collect all these parts and have Clockwork City you get a Construct practice dummy for your house to test your combat damage against. Worth the effort.
Steforax Soulstrong CH782 Sorcerer AD
Grumpy Kahjiti CH782 Dragonknight AD
Rheticia Le Drakisius CH782 Nightblade DC
Razmuzan Thrasmas CH782 Templar EP
Sheenara Soulstrong CH782 Dragonknight DC
Erik Ramzey CH782 Nightblade AD
Growling Kahjiti CH782 Nightblade EP
One of Many Faces CH782 Sorcerer DC
Grumpasaurus Rex CH782 Warden DC
EU Server:
Guildmaster of Pacrooti's Hirelings AD Based LGBT Friendly Guild.
Stefrex Souliss CH701 Sorcerer AD
Grumpy Kahjiti CH701 Dragonknight DC
Slithisi Ksissi CH701 Nightblade EP
Pokes-With-Fire CH701 Dragonknight AD
Josie-The-Pussi-Cat CH701 Templar AD
Stug-Grog M'God CH701 Templar DC
One With Many Faces CH701 Nightblade DC
Trixie Truskan CH701 Sorcerer EP
Grumpetasaurus Rex CH701 Warden EP