Among other things, Larry Hudson saw fit to write:

>>>>In other words, to
>>>>>simplify things, without extra masses...you weigh less at noon?
>>>>
>>>>Don't tides work this way?
>>>
>>>Not at all. If that was how tides worked, there would only be one tide
>>>per day instead of two. Tidal forces also make you lighter when the
>>>extra mass is directly below your feet.
>> 
>> The secon rise is due to a resonnance, an harmonic
> 
> No, it's not a resonnance.  The way I've heard the two tides explained
> is that the ocean is raised by the moon's gravity on that side of the
> earth, but it also pulls the _earth_ away from the water on the far
> side.  So the high tide on the far side is not that the water is higher,
> but that the earth is lower.

That's it. The solid earth can be considered rigid, while the water in
oceans obviously isn't. The portion of water close to the Moon is pulled
towards it more strongly than the rock, because it's closer to it, and it
can deform. The portion of water in the far side is pulled more weakly, so
in relation to the solid earth it looks like it's being pushed away.

To answer the original question: "you weight less at noon?" Yes, of course.
Whether that's measurable is something I don't know, but I've learnt there
are stronger tides at full and new moon, because the influences of Moon and
Sun combine. That would mean the effect is probably measurable, but the
Moon's effect is still more important, so you'll weight even less with the
Moon high up in the sky, no matter day or night.

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