Character "A" builds a new (2nd) Claim, can't finish it because he doesn't have enough lp, however all the materials are in.
2 days later Character "A" has enough lp left over.
Character "B" now walks to the building site and finishes the build. Character "A" gets deducted the 4k lp for the claim and is the new claim owner. The Claim Symbol in the study interface however is given to Character "B". Not sure if that is intended or not.