Absolutely. Go out and enjoy it.
If I were offering up any more advise, its get used to cutting and retying. Blow through tippet, its cheap and it helps. Realize the further you cut that leader down, the thicker it gets. At a certain point, tying more 5x (or whatever) to the end results in a huge drop of sizes, casting and presentation issues, and knot compromising.
Either get used to re-nailknotting a new leader, or tie a loop at the end of the leader where the 5x (or whatever) more-or-less ends, then looping or tying your tippet to that.
Alternately, and perhaps smarter, is when you reach a point where the leader is done and you don't feel like knotting more tippet to get it back to where you want, you can just cut down to the butt, the last few inches, loop that and then loop a new leader to it.
To read that is to be confused, I guess. Those tapered leaders start at, say, 20# test line then slowly taper down over length to, ie, 4.8# (or 5x tippet). You will whittle down the 2' of 4.8# stuff to nuttin, then tie on another, fresh, 2' of 5x.
After you've retied new 5x on the end a few times, you've blown through the part of tapered leader that was 6# (4x) sized. This ruins the advantage of a tapered leader. You could just tie on a new hunk of 4x (say 1') then tie the 2' of 5x to that.
Or loop the 4x end of tapered leader, and tie the 5x to that (loop-to-loop or whatever). Or you could lop the entire ~6' of tapered leader down to 5" of that thick, 20#, butt and loop that part. Then every new leader you tie on you could loop-to-loop to that, dig?
The alternative is cutting the whole mess, and then nailknotting a new leader to fly line every time. This means losing an inch or two of fly line with every knot. That's perfectly acceptable, too, but it kills me to do it and I hate nailknots.