This activity gives you a permanent souvenir from Camp Critter. Just go to your avatar shop, purchase (for free) the branch in the Camp Critter category, place it in your Critter Park and watch what happens! (Hint: Check your avatar every week!)
Note: Do not purchase the block of wood in the accessories section. The wood being used for the Camp Critter whittling activity looks like a branch, costs nothing and is located in the Camp Critter category of the Avatar Shop.