When I was new to cheesemaking (and just couldn't wait to try them) I did cut into my cheddars at less than 2 months. Rather, I cut the cheddars into three pieces - two quarters and one half - and waxed them separately. I then cut into one of the quarters at 4 weeks, the other at six weeks, and the half at 2 months. Mostly because I couldn't wait, but also so that I could have a practical experience of what ageing does to the flavor and texture. And no, they didn't have good cheddar flavor even at 2 months, so it taught me that patience is definitely worth it.
Now that I'm a couple of years into this, I have a couple of cheddars that are nearly a year old and not cut into yet. Most of the cheeses I use at less than 60 days are colbies, which I prefer "younger" anyway.