If you feel like you may stay in the area you are in for a while (many do not at age 23, or simply don't know what they want), you may want to buy a house soon.
If you may go back to school, or are highly mobile for some other reason, obviously you will put that off a while.
All of what Flagpole said makes sense and if you are making $65k right away, as long as you are working you will probably never be poor, so I would not worry unnecessarily about the present.
If you want DO to buy a house, you will want to put 20% down to avoid PMI, and so you will have to plan accordingly. If you live in a reasonable part of the country you can still get a nice house for say $200-300,000, and your income alone will support a mortgage of $130-150,000. so that would be $40-60,000 for a DP. If you move in yourself (alone) you will need to be around $170,000 for purchase price.
At your current savings rate, you could have that in 1.5 yrs.
Now I remember that you said you want your savings to GROW. Try this ...
http://www.ally.com/about/investor/demand-notes/
I have been in them for years and there is no risk and the returns are about 5X better than Bank savings accounts. Still not gonna get rich off $9000 in the account, but better than CD rates and they even give you a check book that you can write checks from the account. Pretty handy.
If that is not good enough for you look at Vanguard Funds. Look at some of the lower risk investments, not the stock mutual funds. Set up (like I did) to have a chunk from your checking account put in every 2 weeks or 1 month. That way you don't even think about it and you won't be tempted to time the market.
Good luck!!