lilybean,
you don't want him to feel secure but you want to slowly help him learn independence as well.
Can you set up a safe room for him, where he can have a bed, toys, water, litter box and not a lot of things to get hurt on/with? You could use that room for say 1/2 an hour at a time while you do some chores.
I know some chores are not safe to do with a 7 week old kitty underfoot!

Another kitten is a good idea if you have the time, space and finances to accomodate one.