Make sure you have 6 months’ worth of expenses in liquid savings account (Eg normal savings account tied to your checking). Make sure when budgeting for 6 months’ of expenses, you’re factoring in expenses per month if you were actually living on your own.

Save up enough money to actually live on your own (moving costs + deposit costs at an apartment or whatever).

After that, you should make sure you’re able to save 15% of gross income going forward to retirement even in future when you live on your own.

For now, while living at home, yes you should be able to save even more than that towards retirement or start building pile of cash for down payment on your own house.