I have not heard of any new players joining the Lakers who are young and have great potential. LeBron James is getting old and it is obvious that his age is taking a toll on his performance. Looking at the Lakers team right now, we will see good experience and good players who have been around before. Anthony Davis is probably the only player who is reliable but I don't know if he is someone whom you can build a team around. Russell Westbrook and LeBron James are just too old right now. The Lakers are obviously going to have big changes in the future but till then it will be interesting to see how they can perform.
Yes, Anthony Davis is a player whom they can build a team around. Maybe Lakers will keep him for long even after Lebron James retires. It's not easy to find a big man like him who can shoot outside, has good freethrow percentage, and can-do post up plays perfectly.
It could because of what happened before when they have Lonzo, Randle, Kuzma, DLo in their roster, it failed, and it traumatized them to repeat that kind of mistake again. That's why they are not recruiting young guns.