Ha ha ha Sprocket Man...
You could easily cut just your swim time by two minutes! Okay, I'm making a lot of assumptions here... assuming you're only a mediocre swimmer if you're getting lessons. If you are only mediocre, improving your technique, and thereby your efficiency, could save you heaps of time - plus you'd have the added benefit of not being so worn out as you begin the real meat of the race. Ask chrisesposito how much faster his swim has gotten... I think he's improved significantly. If you're talking about a mile swim, you could definitely drop significant time.
Of course, I'm kinda biased toward the swim...