Being an astronomy geek, I often try to see how thin a cresent I can find (i.e., how close to “new” I can see). But between working late, sleeping late, and living in an area without a clear horizon, I’ve only managed something like 1 day, 18 hr past new. Not too good (but not awful). In Astronomy magazine, someone claimed to see a 14 hour old crescent. You’d need a clear horizon and perhaps a pair of binoculars for that!
Mercury probably won’t become tidally locked in the same sense as the Moon, actuall, because it’s already in what’s called a “harmonic lock”. Its rotational period is exactly two-thirds the length of its orbital period, so that every time it reaches perihelion (closest point to the Sun), it’s pointed with its long axis (it’s slightly elongated) either towards or away from the Sun (which is equivalent, either way). This is a stable situation, so if it ever slowed down or sped up a little bit, it’d tend to return to that state.
Venus, on the other hand, is on its way to becomming tidally locked. Its rotational period is very close to its orbital period, but not exactly the same yet.